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Finding the Fourth Proportional to 863.31, 1,296.19 and 824.13

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Solution

The fourth proportional to 863.31, 1,296.19 and 824.13 is: 1,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.31 : 1,296.19 = 824.13 : x
  2. Step 2: Convert to fraction form
    863.31/1,296.19 = 824.13/x
  3. Step 3: Cross multiply
    863.31x = 1,296.19 × 824.13
  4. Step 4: Simplify right side
    863.31x = 1,068,225.46
  5. Step 5: Solve for x
    x = 1,068,225.46/863.31
  6. Step 6: Final answer
    x = 1,237.35

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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.