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Finding the Fourth Proportional to 963.45, 1,328.14 and 682.81

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Solution

The fourth proportional to 963.45, 1,328.14 and 682.81 is: 941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.45 : 1,328.14 = 682.81 : x
  2. Step 2: Convert to fraction form
    963.45/1,328.14 = 682.81/x
  3. Step 3: Cross multiply
    963.45x = 1,328.14 × 682.81
  4. Step 4: Simplify right side
    963.45x = 906,867.27
  5. Step 5: Solve for x
    x = 906,867.27/963.45
  6. Step 6: Final answer
    x = 941.28

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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.