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Finding the Fourth Proportional to 942.31, 1,299.94 and 627.72

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Solution

The fourth proportional to 942.31, 1,299.94 and 627.72 is: 865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.31 : 1,299.94 = 627.72 : x
  2. Step 2: Convert to fraction form
    942.31/1,299.94 = 627.72/x
  3. Step 3: Cross multiply
    942.31x = 1,299.94 × 627.72
  4. Step 4: Simplify right side
    942.31x = 815,998.34
  5. Step 5: Solve for x
    x = 815,998.34/942.31
  6. Step 6: Final answer
    x = 865.96

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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.