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Finding the Fourth Proportional to 1,478.80, 2,218.20 and 863.20

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Solution

The fourth proportional to 1,478.80, 2,218.20 and 863.20 is: 1,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.80 : 2,218.20 = 863.20 : x
  2. Step 2: Convert to fraction form
    1,478.80/2,218.20 = 863.20/x
  3. Step 3: Cross multiply
    1,478.80x = 2,218.20 × 863.20
  4. Step 4: Simplify right side
    1,478.80x = 1,914,750.24
  5. Step 5: Solve for x
    x = 1,914,750.24/1,478.80
  6. Step 6: Final answer
    x = 1,294.80

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1.5x scale

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.