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Finding the Fourth Proportional to 724.62, 996.26 and 590.16

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Solution

The fourth proportional to 724.62, 996.26 and 590.16 is: 811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.62 : 996.26 = 590.16 : x
  2. Step 2: Convert to fraction form
    724.62/996.26 = 590.16/x
  3. Step 3: Cross multiply
    724.62x = 996.26 × 590.16
  4. Step 4: Simplify right side
    724.62x = 587,952.80
  5. Step 5: Solve for x
    x = 587,952.80/724.62
  6. Step 6: Final answer
    x = 811.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.