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Finding the Fourth Proportional to 588.87, 878.99 and 565.65

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Solution

The fourth proportional to 588.87, 878.99 and 565.65 is: 844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.87 : 878.99 = 565.65 : x
  2. Step 2: Convert to fraction form
    588.87/878.99 = 565.65/x
  3. Step 3: Cross multiply
    588.87x = 878.99 × 565.65
  4. Step 4: Simplify right side
    588.87x = 497,197.87
  5. Step 5: Solve for x
    x = 497,197.87/588.87
  6. Step 6: Final answer
    x = 844.33

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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.