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Finding the Fourth Proportional to 625.86, 936.82 and 429.71

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Solution

The fourth proportional to 625.86, 936.82 and 429.71 is: 643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.86 : 936.82 = 429.71 : x
  2. Step 2: Convert to fraction form
    625.86/936.82 = 429.71/x
  3. Step 3: Cross multiply
    625.86x = 936.82 × 429.71
  4. Step 4: Simplify right side
    625.86x = 402,562.19
  5. Step 5: Solve for x
    x = 402,562.19/625.86
  6. Step 6: Final answer
    x = 643.21

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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.