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Finding the Fourth Proportional to 922.27, 1,382.84 and 453.15

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Solution

The fourth proportional to 922.27, 1,382.84 and 453.15 is: 679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.27 : 1,382.84 = 453.15 : x
  2. Step 2: Convert to fraction form
    922.27/1,382.84 = 453.15/x
  3. Step 3: Cross multiply
    922.27x = 1,382.84 × 453.15
  4. Step 4: Simplify right side
    922.27x = 626,633.95
  5. Step 5: Solve for x
    x = 626,633.95/922.27
  6. Step 6: Final answer
    x = 679.45

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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.