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Finding the Fourth Proportional to 922.33, 1,380.39 and 575.56

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Solution

The fourth proportional to 922.33, 1,380.39 and 575.56 is: 861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.33 : 1,380.39 = 575.56 : x
  2. Step 2: Convert to fraction form
    922.33/1,380.39 = 575.56/x
  3. Step 3: Cross multiply
    922.33x = 1,380.39 × 575.56
  4. Step 4: Simplify right side
    922.33x = 794,497.27
  5. Step 5: Solve for x
    x = 794,497.27/922.33
  6. Step 6: Final answer
    x = 861.40

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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.