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Finding the Fourth Proportional to 915.47, 1,371.62 and 762.38

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Solution

The fourth proportional to 915.47, 1,371.62 and 762.38 is: 1,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.47 : 1,371.62 = 762.38 : x
  2. Step 2: Convert to fraction form
    915.47/1,371.62 = 762.38/x
  3. Step 3: Cross multiply
    915.47x = 1,371.62 × 762.38
  4. Step 4: Simplify right side
    915.47x = 1,045,695.27
  5. Step 5: Solve for x
    x = 1,045,695.27/915.47
  6. Step 6: Final answer
    x = 1,142.25

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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.