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Finding the Fourth Proportional to 625.94, 864.15 and 429.74

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Solution

The fourth proportional to 625.94, 864.15 and 429.74 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.94 : 864.15 = 429.74 : x
  2. Step 2: Convert to fraction form
    625.94/864.15 = 429.74/x
  3. Step 3: Cross multiply
    625.94x = 864.15 × 429.74
  4. Step 4: Simplify right side
    625.94x = 371,359.82
  5. Step 5: Solve for x
    x = 371,359.82/625.94
  6. Step 6: Final answer
    x = 593.28

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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.