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Finding the Fourth Proportional to 484.11, 726.05 and 407.13

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Solution

The fourth proportional to 484.11, 726.05 and 407.13 is: 610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.11 : 726.05 = 407.13 : x
  2. Step 2: Convert to fraction form
    484.11/726.05 = 407.13/x
  3. Step 3: Cross multiply
    484.11x = 726.05 × 407.13
  4. Step 4: Simplify right side
    484.11x = 295,594.70
  5. Step 5: Solve for x
    x = 295,594.70/484.11
  6. Step 6: Final answer
    x = 610.59

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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.