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Finding the Fourth Proportional to 588.60, 878.69 and 547.61

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Solution

The fourth proportional to 588.60, 878.69 and 547.61 is: 817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 878.69 = 547.61 : x
  2. Step 2: Convert to fraction form
    588.60/878.69 = 547.61/x
  3. Step 3: Cross multiply
    588.60x = 878.69 × 547.61
  4. Step 4: Simplify right side
    588.60x = 481,172.30
  5. Step 5: Solve for x
    x = 481,172.30/588.60
  6. Step 6: Final answer
    x = 817.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.