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Finding the Fourth Proportional to 1,478.88, 2,218.08 and 863.28

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Solution

The fourth proportional to 1,478.88, 2,218.08 and 863.28 is: 1,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.88 : 2,218.08 = 863.28 : x
  2. Step 2: Convert to fraction form
    1,478.88/2,218.08 = 863.28/x
  3. Step 3: Cross multiply
    1,478.88x = 2,218.08 × 863.28
  4. Step 4: Simplify right side
    1,478.88x = 1,914,824.10
  5. Step 5: Solve for x
    x = 1,914,824.10/1,478.88
  6. Step 6: Final answer
    x = 1,294.78

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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.