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Finding the Fourth Proportional to 863.14, 1,292.77 and 618.92

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Solution

The fourth proportional to 863.14, 1,292.77 and 618.92 is: 927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.14 : 1,292.77 = 618.92 : x
  2. Step 2: Convert to fraction form
    863.14/1,292.77 = 618.92/x
  3. Step 3: Cross multiply
    863.14x = 1,292.77 × 618.92
  4. Step 4: Simplify right side
    863.14x = 800,122.76
  5. Step 5: Solve for x
    x = 800,122.76/863.14
  6. Step 6: Final answer
    x = 927.00

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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.