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Finding the Fourth Proportional to 616.71, 851.38 and 418.58

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Solution

The fourth proportional to 616.71, 851.38 and 418.58 is: 577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.71 : 851.38 = 418.58 : x
  2. Step 2: Convert to fraction form
    616.71/851.38 = 418.58/x
  3. Step 3: Cross multiply
    616.71x = 851.38 × 418.58
  4. Step 4: Simplify right side
    616.71x = 356,373.32
  5. Step 5: Solve for x
    x = 356,373.32/616.71
  6. Step 6: Final answer
    x = 577.86

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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.