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Finding the Fourth Proportional to 1,410.24, 1,946.90 and 944.76

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Solution

The fourth proportional to 1,410.24, 1,946.90 and 944.76 is: 1,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.24 : 1,946.90 = 944.76 : x
  2. Step 2: Convert to fraction form
    1,410.24/1,946.90 = 944.76/x
  3. Step 3: Cross multiply
    1,410.24x = 1,946.90 × 944.76
  4. Step 4: Simplify right side
    1,410.24x = 1,839,353.24
  5. Step 5: Solve for x
    x = 1,839,353.24/1,410.24
  6. Step 6: Final answer
    x = 1,304.28

Related Problems

Find fourth proportional to 705.12, 973.45 and 472.38
Half scale
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Double scale
Find fourth proportional to 1,411.24, 1,948.28 and 945.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.