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Finding the Fourth Proportional to 1,478.66, 2,217.31 and 438.29

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Solution

The fourth proportional to 1,478.66, 2,217.31 and 438.29 is: 657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.66 : 2,217.31 = 438.29 : x
  2. Step 2: Convert to fraction form
    1,478.66/2,217.31 = 438.29/x
  3. Step 3: Cross multiply
    1,478.66x = 2,217.31 × 438.29
  4. Step 4: Simplify right side
    1,478.66x = 971,824.80
  5. Step 5: Solve for x
    x = 971,824.80/1,478.66
  6. Step 6: Final answer
    x = 657.23

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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.