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Finding the Fourth Proportional to 1,479.71, 2,220 and 439.74

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Solution

The fourth proportional to 1,479.71, 2,220 and 439.74 is: 659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.71 : 2,220 = 439.74 : x
  2. Step 2: Convert to fraction form
    1,479.71/2,220 = 439.74/x
  3. Step 3: Cross multiply
    1,479.71x = 2,220 × 439.74
  4. Step 4: Simplify right side
    1,479.71x = 976,222.80
  5. Step 5: Solve for x
    x = 976,222.80/1,479.71
  6. Step 6: Final answer
    x = 659.74

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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.