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Finding the Fourth Proportional to 616.32, 851.44 and 476.80

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Solution

The fourth proportional to 616.32, 851.44 and 476.80 is: 658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.32 : 851.44 = 476.80 : x
  2. Step 2: Convert to fraction form
    616.32/851.44 = 476.80/x
  3. Step 3: Cross multiply
    616.32x = 851.44 × 476.80
  4. Step 4: Simplify right side
    616.32x = 405,966.59
  5. Step 5: Solve for x
    x = 405,966.59/616.32
  6. Step 6: Final answer
    x = 658.69

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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.