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Finding the Fourth Proportional to 863.79, 1,287.34 and 862.41

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Solution

The fourth proportional to 863.79, 1,287.34 and 862.41 is: 1,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.79 : 1,287.34 = 862.41 : x
  2. Step 2: Convert to fraction form
    863.79/1,287.34 = 862.41/x
  3. Step 3: Cross multiply
    863.79x = 1,287.34 × 862.41
  4. Step 4: Simplify right side
    863.79x = 1,110,214.89
  5. Step 5: Solve for x
    x = 1,110,214.89/863.79
  6. Step 6: Final answer
    x = 1,285.28

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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.