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Finding the Fourth Proportional to 625.34, 936.78 and 460.50

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Solution

The fourth proportional to 625.34, 936.78 and 460.50 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.34 : 936.78 = 460.50 : x
  2. Step 2: Convert to fraction form
    625.34/936.78 = 460.50/x
  3. Step 3: Cross multiply
    625.34x = 936.78 × 460.50
  4. Step 4: Simplify right side
    625.34x = 431,387.19
  5. Step 5: Solve for x
    x = 431,387.19/625.34
  6. Step 6: Final answer
    x = 689.84

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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.