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Finding the Fourth Proportional to 456.20, 632.79 and 440.66

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Solution

The fourth proportional to 456.20, 632.79 and 440.66 is: 611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.20 : 632.79 = 440.66 : x
  2. Step 2: Convert to fraction form
    456.20/632.79 = 440.66/x
  3. Step 3: Cross multiply
    456.20x = 632.79 × 440.66
  4. Step 4: Simplify right side
    456.20x = 278,845.24
  5. Step 5: Solve for x
    x = 278,845.24/456.20
  6. Step 6: Final answer
    x = 611.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.