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Finding the Fourth Proportional to 532.26, 733.68 and 458.28

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Solution

The fourth proportional to 532.26, 733.68 and 458.28 is: 631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.26 : 733.68 = 458.28 : x
  2. Step 2: Convert to fraction form
    532.26/733.68 = 458.28/x
  3. Step 3: Cross multiply
    532.26x = 733.68 × 458.28
  4. Step 4: Simplify right side
    532.26x = 336,230.87
  5. Step 5: Solve for x
    x = 336,230.87/532.26
  6. Step 6: Final answer
    x = 631.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.