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Finding the Fourth Proportional to 723.31, 998.18 and 424.77

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Solution

The fourth proportional to 723.31, 998.18 and 424.77 is: 586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.31 : 998.18 = 424.77 : x
  2. Step 2: Convert to fraction form
    723.31/998.18 = 424.77/x
  3. Step 3: Cross multiply
    723.31x = 998.18 × 424.77
  4. Step 4: Simplify right side
    723.31x = 424,000.65
  5. Step 5: Solve for x
    x = 424,000.65/723.31
  6. Step 6: Final answer
    x = 586.19

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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.