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Finding the Fourth Proportional to 616.93, 851.68 and 476.74

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Solution

The fourth proportional to 616.93, 851.68 and 476.74 is: 658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.93 : 851.68 = 476.74 : x
  2. Step 2: Convert to fraction form
    616.93/851.68 = 476.74/x
  3. Step 3: Cross multiply
    616.93x = 851.68 × 476.74
  4. Step 4: Simplify right side
    616.93x = 406,026.79
  5. Step 5: Solve for x
    x = 406,026.79/616.93
  6. Step 6: Final answer
    x = 658.14

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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.