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Finding the Fourth Proportional to 860.97, 1,292.37 and 514.71

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Solution

The fourth proportional to 860.97, 1,292.37 and 514.71 is: 772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.97 : 1,292.37 = 514.71 : x
  2. Step 2: Convert to fraction form
    860.97/1,292.37 = 514.71/x
  3. Step 3: Cross multiply
    860.97x = 1,292.37 × 514.71
  4. Step 4: Simplify right side
    860.97x = 665,195.76
  5. Step 5: Solve for x
    x = 665,195.76/860.97
  6. Step 6: Final answer
    x = 772.61

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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.