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Finding the Fourth Proportional to 723.90, 996.66 and 613.20

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Solution

The fourth proportional to 723.90, 996.66 and 613.20 is: 844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.90 : 996.66 = 613.20 : x
  2. Step 2: Convert to fraction form
    723.90/996.66 = 613.20/x
  3. Step 3: Cross multiply
    723.90x = 996.66 × 613.20
  4. Step 4: Simplify right side
    723.90x = 611,151.91
  5. Step 5: Solve for x
    x = 611,151.91/723.90
  6. Step 6: Final answer
    x = 844.25

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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.