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Finding the Fourth Proportional to 994.48, 1,371.96 and 742.48

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Solution

The fourth proportional to 994.48, 1,371.96 and 742.48 is: 1,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.48 : 1,371.96 = 742.48 : x
  2. Step 2: Convert to fraction form
    994.48/1,371.96 = 742.48/x
  3. Step 3: Cross multiply
    994.48x = 1,371.96 × 742.48
  4. Step 4: Simplify right side
    994.48x = 1,018,652.86
  5. Step 5: Solve for x
    x = 1,018,652.86/994.48
  6. Step 6: Final answer
    x = 1,024.31

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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.