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Finding the Fourth Proportional to 625, 862.54 and 392.28

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Solution

The fourth proportional to 625, 862.54 and 392.28 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    625 : 862.54 = 392.28 : x
  2. Step 2: Convert to fraction form
    625/862.54 = 392.28/x
  3. Step 3: Cross multiply
    625x = 862.54 × 392.28
  4. Step 4: Simplify right side
    625x = 338,357.19
  5. Step 5: Solve for x
    x = 338,357.19/625
  6. Step 6: Final answer
    x = 541.37

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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.