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Finding the Fourth Proportional to 724.26, 998.88 and 576.66

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Solution

The fourth proportional to 724.26, 998.88 and 576.66 is: 795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.26 : 998.88 = 576.66 : x
  2. Step 2: Convert to fraction form
    724.26/998.88 = 576.66/x
  3. Step 3: Cross multiply
    724.26x = 998.88 × 576.66
  4. Step 4: Simplify right side
    724.26x = 576,014.14
  5. Step 5: Solve for x
    x = 576,014.14/724.26
  6. Step 6: Final answer
    x = 795.31

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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.