Home / 1,410.70-1,946.28-820.75

Finding the Fourth Proportional to 1,410.70, 1,946.28 and 820.75

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Solution

The fourth proportional to 1,410.70, 1,946.28 and 820.75 is: 1,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.70 : 1,946.28 = 820.75 : x
  2. Step 2: Convert to fraction form
    1,410.70/1,946.28 = 820.75/x
  3. Step 3: Cross multiply
    1,410.70x = 1,946.28 × 820.75
  4. Step 4: Simplify right side
    1,410.70x = 1,597,409.31
  5. Step 5: Solve for x
    x = 1,597,409.31/1,410.70
  6. Step 6: Final answer
    x = 1,132.35

Related Problems

Find fourth proportional to 705.35, 973.14 and 410.38
Half scale
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Double scale
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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.