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Finding the Fourth Proportional to 863.72, 1,192.07 and 514.61

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Solution

The fourth proportional to 863.72, 1,192.07 and 514.61 is: 710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,192.07 = 514.61 : x
  2. Step 2: Convert to fraction form
    863.72/1,192.07 = 514.61/x
  3. Step 3: Cross multiply
    863.72x = 1,192.07 × 514.61
  4. Step 4: Simplify right side
    863.72x = 613,448.04
  5. Step 5: Solve for x
    x = 613,448.04/863.72
  6. Step 6: Final answer
    x = 710.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.