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Finding the Fourth Proportional to 922.03, 1,382.87 and 428.30

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Solution

The fourth proportional to 922.03, 1,382.87 and 428.30 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.03 : 1,382.87 = 428.30 : x
  2. Step 2: Convert to fraction form
    922.03/1,382.87 = 428.30/x
  3. Step 3: Cross multiply
    922.03x = 1,382.87 × 428.30
  4. Step 4: Simplify right side
    922.03x = 592,282.56
  5. Step 5: Solve for x
    x = 592,282.56/922.03
  6. Step 6: Final answer
    x = 642.37

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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.