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Finding the Fourth Proportional to 588.60, 878.55 and 552.12

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Solution

The fourth proportional to 588.60, 878.55 and 552.12 is: 824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 878.55 = 552.12 : x
  2. Step 2: Convert to fraction form
    588.60/878.55 = 552.12/x
  3. Step 3: Cross multiply
    588.60x = 878.55 × 552.12
  4. Step 4: Simplify right side
    588.60x = 485,065.03
  5. Step 5: Solve for x
    x = 485,065.03/588.60
  6. Step 6: Final answer
    x = 824.10

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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.