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Finding the Fourth Proportional to 931.89, 1,397.87 and 748.43

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Solution

The fourth proportional to 931.89, 1,397.87 and 748.43 is: 1,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.89 : 1,397.87 = 748.43 : x
  2. Step 2: Convert to fraction form
    931.89/1,397.87 = 748.43/x
  3. Step 3: Cross multiply
    931.89x = 1,397.87 × 748.43
  4. Step 4: Simplify right side
    931.89x = 1,046,197.11
  5. Step 5: Solve for x
    x = 1,046,197.11/931.89
  6. Step 6: Final answer
    x = 1,122.66

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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.