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Finding the Fourth Proportional to 915.29, 1,372.61 and 395.07

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Solution

The fourth proportional to 915.29, 1,372.61 and 395.07 is: 592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.29 : 1,372.61 = 395.07 : x
  2. Step 2: Convert to fraction form
    915.29/1,372.61 = 395.07/x
  3. Step 3: Cross multiply
    915.29x = 1,372.61 × 395.07
  4. Step 4: Simplify right side
    915.29x = 542,275.06
  5. Step 5: Solve for x
    x = 542,275.06/915.29
  6. Step 6: Final answer
    x = 592.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.