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Finding the Fourth Proportional to 922.59, 1,273.29 and 549.57

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Solution

The fourth proportional to 922.59, 1,273.29 and 549.57 is: 758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.59 : 1,273.29 = 549.57 : x
  2. Step 2: Convert to fraction form
    922.59/1,273.29 = 549.57/x
  3. Step 3: Cross multiply
    922.59x = 1,273.29 × 549.57
  4. Step 4: Simplify right side
    922.59x = 699,764.70
  5. Step 5: Solve for x
    x = 699,764.70/922.59
  6. Step 6: Final answer
    x = 758.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.