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Finding the Fourth Proportional to 863.46, 1,291.95 and 773.55

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Solution

The fourth proportional to 863.46, 1,291.95 and 773.55 is: 1,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.46 : 1,291.95 = 773.55 : x
  2. Step 2: Convert to fraction form
    863.46/1,291.95 = 773.55/x
  3. Step 3: Cross multiply
    863.46x = 1,291.95 × 773.55
  4. Step 4: Simplify right side
    863.46x = 999,387.92
  5. Step 5: Solve for x
    x = 999,387.92/863.46
  6. Step 6: Final answer
    x = 1,157.42

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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.