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Finding the Fourth Proportional to 456.13, 632.69 and 439.75

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Solution

The fourth proportional to 456.13, 632.69 and 439.75 is: 609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.13 : 632.69 = 439.75 : x
  2. Step 2: Convert to fraction form
    456.13/632.69 = 439.75/x
  3. Step 3: Cross multiply
    456.13x = 632.69 × 439.75
  4. Step 4: Simplify right side
    456.13x = 278,225.43
  5. Step 5: Solve for x
    x = 278,225.43/456.13
  6. Step 6: Final answer
    x = 609.97

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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.