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Finding the Fourth Proportional to 863.88, 1,295.28 and 574.44

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Solution

The fourth proportional to 863.88, 1,295.28 and 574.44 is: 861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.88 : 1,295.28 = 574.44 : x
  2. Step 2: Convert to fraction form
    863.88/1,295.28 = 574.44/x
  3. Step 3: Cross multiply
    863.88x = 1,295.28 × 574.44
  4. Step 4: Simplify right side
    863.88x = 744,060.64
  5. Step 5: Solve for x
    x = 744,060.64/863.88
  6. Step 6: Final answer
    x = 861.30

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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.