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Finding the Fourth Proportional to 717.19, 1,073.07 and 424.85

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Solution

The fourth proportional to 717.19, 1,073.07 and 424.85 is: 635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.19 : 1,073.07 = 424.85 : x
  2. Step 2: Convert to fraction form
    717.19/1,073.07 = 424.85/x
  3. Step 3: Cross multiply
    717.19x = 1,073.07 × 424.85
  4. Step 4: Simplify right side
    717.19x = 455,892.45
  5. Step 5: Solve for x
    x = 455,892.45/717.19
  6. Step 6: Final answer
    x = 635.66

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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.