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Finding the Fourth Proportional to 928.40, 1,382.13 and 890.73

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Solution

The fourth proportional to 928.40, 1,382.13 and 890.73 is: 1,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.40 : 1,382.13 = 890.73 : x
  2. Step 2: Convert to fraction form
    928.40/1,382.13 = 890.73/x
  3. Step 3: Cross multiply
    928.40x = 1,382.13 × 890.73
  4. Step 4: Simplify right side
    928.40x = 1,231,104.65
  5. Step 5: Solve for x
    x = 1,231,104.65/928.40
  6. Step 6: Final answer
    x = 1,326.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.