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Finding the Fourth Proportional to 994.17, 1,371.87 and 574.23

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Solution

The fourth proportional to 994.17, 1,371.87 and 574.23 is: 792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.17 : 1,371.87 = 574.23 : x
  2. Step 2: Convert to fraction form
    994.17/1,371.87 = 574.23/x
  3. Step 3: Cross multiply
    994.17x = 1,371.87 × 574.23
  4. Step 4: Simplify right side
    994.17x = 787,768.91
  5. Step 5: Solve for x
    x = 787,768.91/994.17
  6. Step 6: Final answer
    x = 792.39

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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.