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Finding the Fourth Proportional to 863.72, 1,294.49 and 616.53

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Solution

The fourth proportional to 863.72, 1,294.49 and 616.53 is: 924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,294.49 = 616.53 : x
  2. Step 2: Convert to fraction form
    863.72/1,294.49 = 616.53/x
  3. Step 3: Cross multiply
    863.72x = 1,294.49 × 616.53
  4. Step 4: Simplify right side
    863.72x = 798,091.92
  5. Step 5: Solve for x
    x = 798,091.92/863.72
  6. Step 6: Final answer
    x = 924.02

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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.