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Finding the Fourth Proportional to 915.43, 1,369.96 and 748.98

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Solution

The fourth proportional to 915.43, 1,369.96 and 748.98 is: 1,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.43 : 1,369.96 = 748.98 : x
  2. Step 2: Convert to fraction form
    915.43/1,369.96 = 748.98/x
  3. Step 3: Cross multiply
    915.43x = 1,369.96 × 748.98
  4. Step 4: Simplify right side
    915.43x = 1,026,062.05
  5. Step 5: Solve for x
    x = 1,026,062.05/915.43
  6. Step 6: Final answer
    x = 1,120.85

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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.