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Finding the Fourth Proportional to 667.79, 1,003.13 and 565.28

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Solution

The fourth proportional to 667.79, 1,003.13 and 565.28 is: 849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.79 : 1,003.13 = 565.28 : x
  2. Step 2: Convert to fraction form
    667.79/1,003.13 = 565.28/x
  3. Step 3: Cross multiply
    667.79x = 1,003.13 × 565.28
  4. Step 4: Simplify right side
    667.79x = 567,049.33
  5. Step 5: Solve for x
    x = 567,049.33/667.79
  6. Step 6: Final answer
    x = 849.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.