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Finding the Fourth Proportional to 625.12, 862.80 and 418

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Solution

The fourth proportional to 625.12, 862.80 and 418 is: 576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.12 : 862.80 = 418 : x
  2. Step 2: Convert to fraction form
    625.12/862.80 = 418/x
  3. Step 3: Cross multiply
    625.12x = 862.80 × 418
  4. Step 4: Simplify right side
    625.12x = 360,650.40
  5. Step 5: Solve for x
    x = 360,650.40/625.12
  6. Step 6: Final answer
    x = 576.93

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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.