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Finding the Fourth Proportional to 992.74, 1,371.72 and 797.80

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Solution

The fourth proportional to 992.74, 1,371.72 and 797.80 is: 1,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.74 : 1,371.72 = 797.80 : x
  2. Step 2: Convert to fraction form
    992.74/1,371.72 = 797.80/x
  3. Step 3: Cross multiply
    992.74x = 1,371.72 × 797.80
  4. Step 4: Simplify right side
    992.74x = 1,094,358.22
  5. Step 5: Solve for x
    x = 1,094,358.22/992.74
  6. Step 6: Final answer
    x = 1,102.36

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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.