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Finding the Fourth Proportional to 440.11, 656.44 and 414.73

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Solution

The fourth proportional to 440.11, 656.44 and 414.73 is: 618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.11 : 656.44 = 414.73 : x
  2. Step 2: Convert to fraction form
    440.11/656.44 = 414.73/x
  3. Step 3: Cross multiply
    440.11x = 656.44 × 414.73
  4. Step 4: Simplify right side
    440.11x = 272,246.40
  5. Step 5: Solve for x
    x = 272,246.40/440.11
  6. Step 6: Final answer
    x = 618.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.