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Finding the Fourth Proportional to 863.39, 1,294.39 and 307.79

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Solution

The fourth proportional to 863.39, 1,294.39 and 307.79 is: 461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.39 : 1,294.39 = 307.79 : x
  2. Step 2: Convert to fraction form
    863.39/1,294.39 = 307.79/x
  3. Step 3: Cross multiply
    863.39x = 1,294.39 × 307.79
  4. Step 4: Simplify right side
    863.39x = 398,400.30
  5. Step 5: Solve for x
    x = 398,400.30/863.39
  6. Step 6: Final answer
    x = 461.44

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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.