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Finding the Fourth Proportional to 747.16, 1,120.84 and 381.71

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Solution

The fourth proportional to 747.16, 1,120.84 and 381.71 is: 572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.16 : 1,120.84 = 381.71 : x
  2. Step 2: Convert to fraction form
    747.16/1,120.84 = 381.71/x
  3. Step 3: Cross multiply
    747.16x = 1,120.84 × 381.71
  4. Step 4: Simplify right side
    747.16x = 427,837.68
  5. Step 5: Solve for x
    x = 427,837.68/747.16
  6. Step 6: Final answer
    x = 572.62

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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.