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Finding the Fourth Proportional to 596.61, 822.78 and 463.86

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Solution

The fourth proportional to 596.61, 822.78 and 463.86 is: 639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.61 : 822.78 = 463.86 : x
  2. Step 2: Convert to fraction form
    596.61/822.78 = 463.86/x
  3. Step 3: Cross multiply
    596.61x = 822.78 × 463.86
  4. Step 4: Simplify right side
    596.61x = 381,654.73
  5. Step 5: Solve for x
    x = 381,654.73/596.61
  6. Step 6: Final answer
    x = 639.71

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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.