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Finding the Fourth Proportional to 922.38, 1,382.55 and 428.28

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Solution

The fourth proportional to 922.38, 1,382.55 and 428.28 is: 641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.38 : 1,382.55 = 428.28 : x
  2. Step 2: Convert to fraction form
    922.38/1,382.55 = 428.28/x
  3. Step 3: Cross multiply
    922.38x = 1,382.55 × 428.28
  4. Step 4: Simplify right side
    922.38x = 592,118.51
  5. Step 5: Solve for x
    x = 592,118.51/922.38
  6. Step 6: Final answer
    x = 641.95

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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.