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Finding the Fourth Proportional to 625.47, 936.65 and 460.55

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Solution

The fourth proportional to 625.47, 936.65 and 460.55 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.47 : 936.65 = 460.55 : x
  2. Step 2: Convert to fraction form
    625.47/936.65 = 460.55/x
  3. Step 3: Cross multiply
    625.47x = 936.65 × 460.55
  4. Step 4: Simplify right side
    625.47x = 431,374.16
  5. Step 5: Solve for x
    x = 431,374.16/625.47
  6. Step 6: Final answer
    x = 689.68

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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.