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Finding the Fourth Proportional to 667.43, 1,002.97 and 582.78

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Solution

The fourth proportional to 667.43, 1,002.97 and 582.78 is: 875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.43 : 1,002.97 = 582.78 : x
  2. Step 2: Convert to fraction form
    667.43/1,002.97 = 582.78/x
  3. Step 3: Cross multiply
    667.43x = 1,002.97 × 582.78
  4. Step 4: Simplify right side
    667.43x = 584,510.86
  5. Step 5: Solve for x
    x = 584,510.86/667.43
  6. Step 6: Final answer
    x = 875.76

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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.