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Finding the Fourth Proportional to 726.35, 1,002.11 and 446.37

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Solution

The fourth proportional to 726.35, 1,002.11 and 446.37 is: 615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.35 : 1,002.11 = 446.37 : x
  2. Step 2: Convert to fraction form
    726.35/1,002.11 = 446.37/x
  3. Step 3: Cross multiply
    726.35x = 1,002.11 × 446.37
  4. Step 4: Simplify right side
    726.35x = 447,309.61
  5. Step 5: Solve for x
    x = 447,309.61/726.35
  6. Step 6: Final answer
    x = 615.84

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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.