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Finding the Fourth Proportional to 992.80, 1,371.16 and 662.74

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Solution

The fourth proportional to 992.80, 1,371.16 and 662.74 is: 915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.80 : 1,371.16 = 662.74 : x
  2. Step 2: Convert to fraction form
    992.80/1,371.16 = 662.74/x
  3. Step 3: Cross multiply
    992.80x = 1,371.16 × 662.74
  4. Step 4: Simplify right side
    992.80x = 908,722.58
  5. Step 5: Solve for x
    x = 908,722.58/992.80
  6. Step 6: Final answer
    x = 915.31

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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.