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Finding the Fourth Proportional to 863.55, 1,296.27 and 761.49

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Solution

The fourth proportional to 863.55, 1,296.27 and 761.49 is: 1,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.55 : 1,296.27 = 761.49 : x
  2. Step 2: Convert to fraction form
    863.55/1,296.27 = 761.49/x
  3. Step 3: Cross multiply
    863.55x = 1,296.27 × 761.49
  4. Step 4: Simplify right side
    863.55x = 987,096.64
  5. Step 5: Solve for x
    x = 987,096.64/863.55
  6. Step 6: Final answer
    x = 1,143.07

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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.