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Finding the Fourth Proportional to 588.50, 809.73 and 539.90

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Solution

The fourth proportional to 588.50, 809.73 and 539.90 is: 742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.50 : 809.73 = 539.90 : x
  2. Step 2: Convert to fraction form
    588.50/809.73 = 539.90/x
  3. Step 3: Cross multiply
    588.50x = 809.73 × 539.90
  4. Step 4: Simplify right side
    588.50x = 437,172.21
  5. Step 5: Solve for x
    x = 437,172.21/588.50
  6. Step 6: Final answer
    x = 742.86

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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.