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Finding the Fourth Proportional to 588.39, 881.87 and 414.80

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Solution

The fourth proportional to 588.39, 881.87 and 414.80 is: 621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.39 : 881.87 = 414.80 : x
  2. Step 2: Convert to fraction form
    588.39/881.87 = 414.80/x
  3. Step 3: Cross multiply
    588.39x = 881.87 × 414.80
  4. Step 4: Simplify right side
    588.39x = 365,793.19
  5. Step 5: Solve for x
    x = 365,793.19/588.39
  6. Step 6: Final answer
    x = 621.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.