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Finding the Fourth Proportional to 994.68, 1,371.01 and 714.46

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Solution

The fourth proportional to 994.68, 1,371.01 and 714.46 is: 984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.68 : 1,371.01 = 714.46 : x
  2. Step 2: Convert to fraction form
    994.68/1,371.01 = 714.46/x
  3. Step 3: Cross multiply
    994.68x = 1,371.01 × 714.46
  4. Step 4: Simplify right side
    994.68x = 979,531.80
  5. Step 5: Solve for x
    x = 979,531.80/994.68
  6. Step 6: Final answer
    x = 984.77

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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.