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Finding the Fourth Proportional to 1,479.86, 2,218.97 and 439.55

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Solution

The fourth proportional to 1,479.86, 2,218.97 and 439.55 is: 659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.86 : 2,218.97 = 439.55 : x
  2. Step 2: Convert to fraction form
    1,479.86/2,218.97 = 439.55/x
  3. Step 3: Cross multiply
    1,479.86x = 2,218.97 × 439.55
  4. Step 4: Simplify right side
    1,479.86x = 975,338.27
  5. Step 5: Solve for x
    x = 975,338.27/1,479.86
  6. Step 6: Final answer
    x = 659.08

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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.