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Finding the Fourth Proportional to 1,272.76, 1,909.14 and 439.81

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Solution

The fourth proportional to 1,272.76, 1,909.14 and 439.81 is: 659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.76 : 1,909.14 = 439.81 : x
  2. Step 2: Convert to fraction form
    1,272.76/1,909.14 = 439.81/x
  3. Step 3: Cross multiply
    1,272.76x = 1,909.14 × 439.81
  4. Step 4: Simplify right side
    1,272.76x = 839,658.86
  5. Step 5: Solve for x
    x = 839,658.86/1,272.76
  6. Step 6: Final answer
    x = 659.72

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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.