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Finding the Fourth Proportional to 747.80, 1,121.16 and 314.72

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Solution

The fourth proportional to 747.80, 1,121.16 and 314.72 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.80 : 1,121.16 = 314.72 : x
  2. Step 2: Convert to fraction form
    747.80/1,121.16 = 314.72/x
  3. Step 3: Cross multiply
    747.80x = 1,121.16 × 314.72
  4. Step 4: Simplify right side
    747.80x = 352,851.48
  5. Step 5: Solve for x
    x = 352,851.48/747.80
  6. Step 6: Final answer
    x = 471.85

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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.