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Finding the Fourth Proportional to 915.71, 1,263.57 and 542.55

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Solution

The fourth proportional to 915.71, 1,263.57 and 542.55 is: 748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.71 : 1,263.57 = 542.55 : x
  2. Step 2: Convert to fraction form
    915.71/1,263.57 = 542.55/x
  3. Step 3: Cross multiply
    915.71x = 1,263.57 × 542.55
  4. Step 4: Simplify right side
    915.71x = 685,549.90
  5. Step 5: Solve for x
    x = 685,549.90/915.71
  6. Step 6: Final answer
    x = 748.66

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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.