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Finding the Fourth Proportional to 724.42, 998.58 and 576.82

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Solution

The fourth proportional to 724.42, 998.58 and 576.82 is: 795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.42 : 998.58 = 576.82 : x
  2. Step 2: Convert to fraction form
    724.42/998.58 = 576.82/x
  3. Step 3: Cross multiply
    724.42x = 998.58 × 576.82
  4. Step 4: Simplify right side
    724.42x = 576,000.92
  5. Step 5: Solve for x
    x = 576,000.92/724.42
  6. Step 6: Final answer
    x = 795.12

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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.