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Finding the Fourth Proportional to 724.67, 1,001.33 and 567.73

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Solution

The fourth proportional to 724.67, 1,001.33 and 567.73 is: 784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.67 : 1,001.33 = 567.73 : x
  2. Step 2: Convert to fraction form
    724.67/1,001.33 = 567.73/x
  3. Step 3: Cross multiply
    724.67x = 1,001.33 × 567.73
  4. Step 4: Simplify right side
    724.67x = 568,482.24
  5. Step 5: Solve for x
    x = 568,482.24/724.67
  6. Step 6: Final answer
    x = 784.47

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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.