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Finding the Fourth Proportional to 863.28, 1,287.54 and 848.70

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Solution

The fourth proportional to 863.28, 1,287.54 and 848.70 is: 1,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.28 : 1,287.54 = 848.70 : x
  2. Step 2: Convert to fraction form
    863.28/1,287.54 = 848.70/x
  3. Step 3: Cross multiply
    863.28x = 1,287.54 × 848.70
  4. Step 4: Simplify right side
    863.28x = 1,092,735.20
  5. Step 5: Solve for x
    x = 1,092,735.20/863.28
  6. Step 6: Final answer
    x = 1,265.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.