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Finding the Fourth Proportional to 1,731.60, 2,595.60 and 863.28

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Solution

The fourth proportional to 1,731.60, 2,595.60 and 863.28 is: 1,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.60 : 2,595.60 = 863.28 : x
  2. Step 2: Convert to fraction form
    1,731.60/2,595.60 = 863.28/x
  3. Step 3: Cross multiply
    1,731.60x = 2,595.60 × 863.28
  4. Step 4: Simplify right side
    1,731.60x = 2,240,729.57
  5. Step 5: Solve for x
    x = 2,240,729.57/1,731.60
  6. Step 6: Final answer
    x = 1,294.02

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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.