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Finding the Fourth Proportional to 726.43, 1,002.72 and 490.22

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Solution

The fourth proportional to 726.43, 1,002.72 and 490.22 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.43 : 1,002.72 = 490.22 : x
  2. Step 2: Convert to fraction form
    726.43/1,002.72 = 490.22/x
  3. Step 3: Cross multiply
    726.43x = 1,002.72 × 490.22
  4. Step 4: Simplify right side
    726.43x = 491,550.95
  5. Step 5: Solve for x
    x = 491,550.95/726.43
  6. Step 6: Final answer
    x = 676.67

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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.