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Finding the Fourth Proportional to 863.90, 1,296.78 and 691.58

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Solution

The fourth proportional to 863.90, 1,296.78 and 691.58 is: 1,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.90 : 1,296.78 = 691.58 : x
  2. Step 2: Convert to fraction form
    863.90/1,296.78 = 691.58/x
  3. Step 3: Cross multiply
    863.90x = 1,296.78 × 691.58
  4. Step 4: Simplify right side
    863.90x = 896,827.11
  5. Step 5: Solve for x
    x = 896,827.11/863.90
  6. Step 6: Final answer
    x = 1,038.11

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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.