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Finding the Fourth Proportional to 726.60, 1,003.02 and 490.87

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Solution

The fourth proportional to 726.60, 1,003.02 and 490.87 is: 677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.60 : 1,003.02 = 490.87 : x
  2. Step 2: Convert to fraction form
    726.60/1,003.02 = 490.87/x
  3. Step 3: Cross multiply
    726.60x = 1,003.02 × 490.87
  4. Step 4: Simplify right side
    726.60x = 492,353.68
  5. Step 5: Solve for x
    x = 492,353.68/726.60
  6. Step 6: Final answer
    x = 677.61

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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.