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Finding the Fourth Proportional to 746.73, 1,120.17 and 421.79

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Solution

The fourth proportional to 746.73, 1,120.17 and 421.79 is: 632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.73 : 1,120.17 = 421.79 : x
  2. Step 2: Convert to fraction form
    746.73/1,120.17 = 421.79/x
  3. Step 3: Cross multiply
    746.73x = 1,120.17 × 421.79
  4. Step 4: Simplify right side
    746.73x = 472,470.90
  5. Step 5: Solve for x
    x = 472,470.90/746.73
  6. Step 6: Final answer
    x = 632.72

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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.