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Finding the Fourth Proportional to 922.18, 1,380.82 and 488.02

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Solution

The fourth proportional to 922.18, 1,380.82 and 488.02 is: 730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.18 : 1,380.82 = 488.02 : x
  2. Step 2: Convert to fraction form
    922.18/1,380.82 = 488.02/x
  3. Step 3: Cross multiply
    922.18x = 1,380.82 × 488.02
  4. Step 4: Simplify right side
    922.18x = 673,867.78
  5. Step 5: Solve for x
    x = 673,867.78/922.18
  6. Step 6: Final answer
    x = 730.73

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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.