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Finding the Fourth Proportional to 588.50, 810.27 and 499.80

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Solution

The fourth proportional to 588.50, 810.27 and 499.80 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.50 : 810.27 = 499.80 : x
  2. Step 2: Convert to fraction form
    588.50/810.27 = 499.80/x
  3. Step 3: Cross multiply
    588.50x = 810.27 × 499.80
  4. Step 4: Simplify right side
    588.50x = 404,972.95
  5. Step 5: Solve for x
    x = 404,972.95/588.50
  6. Step 6: Final answer
    x = 688.15

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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.