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Finding the Fourth Proportional to 588.27, 878.47 and 554.10

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Solution

The fourth proportional to 588.27, 878.47 and 554.10 is: 827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.27 : 878.47 = 554.10 : x
  2. Step 2: Convert to fraction form
    588.27/878.47 = 554.10/x
  3. Step 3: Cross multiply
    588.27x = 878.47 × 554.10
  4. Step 4: Simplify right side
    588.27x = 486,758.66
  5. Step 5: Solve for x
    x = 486,758.66/588.27
  6. Step 6: Final answer
    x = 827.44

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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.