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Finding the Fourth Proportional to 724.26, 996.90 and 590.96

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Solution

The fourth proportional to 724.26, 996.90 and 590.96 is: 813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.26 : 996.90 = 590.96 : x
  2. Step 2: Convert to fraction form
    724.26/996.90 = 590.96/x
  3. Step 3: Cross multiply
    724.26x = 996.90 × 590.96
  4. Step 4: Simplify right side
    724.26x = 589,128.02
  5. Step 5: Solve for x
    x = 589,128.02/724.26
  6. Step 6: Final answer
    x = 813.42

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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.