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Finding the Fourth Proportional to 668.29, 1,003.88 and 565.78

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Solution

The fourth proportional to 668.29, 1,003.88 and 565.78 is: 849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.29 : 1,003.88 = 565.78 : x
  2. Step 2: Convert to fraction form
    668.29/1,003.88 = 565.78/x
  3. Step 3: Cross multiply
    668.29x = 1,003.88 × 565.78
  4. Step 4: Simplify right side
    668.29x = 567,975.23
  5. Step 5: Solve for x
    x = 567,975.23/668.29
  6. Step 6: Final answer
    x = 849.89

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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.