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Finding the Fourth Proportional to 717.04, 1,073.10 and 456.92

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Solution

The fourth proportional to 717.04, 1,073.10 and 456.92 is: 683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.04 : 1,073.10 = 456.92 : x
  2. Step 2: Convert to fraction form
    717.04/1,073.10 = 456.92/x
  3. Step 3: Cross multiply
    717.04x = 1,073.10 × 456.92
  4. Step 4: Simplify right side
    717.04x = 490,320.85
  5. Step 5: Solve for x
    x = 490,320.85/717.04
  6. Step 6: Final answer
    x = 683.81

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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.