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Finding the Fourth Proportional to 588.29, 810.47 and 489.87

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Solution

The fourth proportional to 588.29, 810.47 and 489.87 is: 674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.29 : 810.47 = 489.87 : x
  2. Step 2: Convert to fraction form
    588.29/810.47 = 489.87/x
  3. Step 3: Cross multiply
    588.29x = 810.47 × 489.87
  4. Step 4: Simplify right side
    588.29x = 397,022.49
  5. Step 5: Solve for x
    x = 397,022.49/588.29
  6. Step 6: Final answer
    x = 674.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.