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Finding the Fourth Proportional to 870.23, 1,198.39 and 814.65

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Solution

The fourth proportional to 870.23, 1,198.39 and 814.65 is: 1,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.23 : 1,198.39 = 814.65 : x
  2. Step 2: Convert to fraction form
    870.23/1,198.39 = 814.65/x
  3. Step 3: Cross multiply
    870.23x = 1,198.39 × 814.65
  4. Step 4: Simplify right side
    870.23x = 976,268.41
  5. Step 5: Solve for x
    x = 976,268.41/870.23
  6. Step 6: Final answer
    x = 1,121.85

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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.