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Finding the Fourth Proportional to 591.73, 813.98 and 480.96

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Solution

The fourth proportional to 591.73, 813.98 and 480.96 is: 661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.73 : 813.98 = 480.96 : x
  2. Step 2: Convert to fraction form
    591.73/813.98 = 480.96/x
  3. Step 3: Cross multiply
    591.73x = 813.98 × 480.96
  4. Step 4: Simplify right side
    591.73x = 391,493.02
  5. Step 5: Solve for x
    x = 391,493.02/591.73
  6. Step 6: Final answer
    x = 661.61

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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.