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Finding the Fourth Proportional to 863.52, 1,295.28 and 477.60

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Solution

The fourth proportional to 863.52, 1,295.28 and 477.60 is: 716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.52 : 1,295.28 = 477.60 : x
  2. Step 2: Convert to fraction form
    863.52/1,295.28 = 477.60/x
  3. Step 3: Cross multiply
    863.52x = 1,295.28 × 477.60
  4. Step 4: Simplify right side
    863.52x = 618,625.73
  5. Step 5: Solve for x
    x = 618,625.73/863.52
  6. Step 6: Final answer
    x = 716.40

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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.