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Finding the Fourth Proportional to 915.76, 1,264.24 and 729.04

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Solution

The fourth proportional to 915.76, 1,264.24 and 729.04 is: 1,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.76 : 1,264.24 = 729.04 : x
  2. Step 2: Convert to fraction form
    915.76/1,264.24 = 729.04/x
  3. Step 3: Cross multiply
    915.76x = 1,264.24 × 729.04
  4. Step 4: Simplify right side
    915.76x = 921,681.53
  5. Step 5: Solve for x
    x = 921,681.53/915.76
  6. Step 6: Final answer
    x = 1,006.47

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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.