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Finding the Fourth Proportional to 721.91, 994.78 and 590.69

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Solution

The fourth proportional to 721.91, 994.78 and 590.69 is: 813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.91 : 994.78 = 590.69 : x
  2. Step 2: Convert to fraction form
    721.91/994.78 = 590.69/x
  3. Step 3: Cross multiply
    721.91x = 994.78 × 590.69
  4. Step 4: Simplify right side
    721.91x = 587,609.82
  5. Step 5: Solve for x
    x = 587,609.82/721.91
  6. Step 6: Final answer
    x = 813.96

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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.