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Finding the Fourth Proportional to 860.47, 1,292.02 and 758.61

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Solution

The fourth proportional to 860.47, 1,292.02 and 758.61 is: 1,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.47 : 1,292.02 = 758.61 : x
  2. Step 2: Convert to fraction form
    860.47/1,292.02 = 758.61/x
  3. Step 3: Cross multiply
    860.47x = 1,292.02 × 758.61
  4. Step 4: Simplify right side
    860.47x = 980,137.40
  5. Step 5: Solve for x
    x = 980,137.40/860.47
  6. Step 6: Final answer
    x = 1,139.08

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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.