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Finding the Fourth Proportional to 870.41, 1,198.14 and 759.71

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Solution

The fourth proportional to 870.41, 1,198.14 and 759.71 is: 1,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.41 : 1,198.14 = 759.71 : x
  2. Step 2: Convert to fraction form
    870.41/1,198.14 = 759.71/x
  3. Step 3: Cross multiply
    870.41x = 1,198.14 × 759.71
  4. Step 4: Simplify right side
    870.41x = 910,232.95
  5. Step 5: Solve for x
    x = 910,232.95/870.41
  6. Step 6: Final answer
    x = 1,045.76

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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.