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Finding the Fourth Proportional to 588.49, 810.26 and 499.78

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Solution

The fourth proportional to 588.49, 810.26 and 499.78 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.49 : 810.26 = 499.78 : x
  2. Step 2: Convert to fraction form
    588.49/810.26 = 499.78/x
  3. Step 3: Cross multiply
    588.49x = 810.26 × 499.78
  4. Step 4: Simplify right side
    588.49x = 404,950.97
  5. Step 5: Solve for x
    x = 404,950.97/588.49
  6. Step 6: Final answer
    x = 688.12

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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.