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Finding the Fourth Proportional to 992.52, 1,367.68 and 834.88

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Solution

The fourth proportional to 992.52, 1,367.68 and 834.88 is: 1,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.52 : 1,367.68 = 834.88 : x
  2. Step 2: Convert to fraction form
    992.52/1,367.68 = 834.88/x
  3. Step 3: Cross multiply
    992.52x = 1,367.68 × 834.88
  4. Step 4: Simplify right side
    992.52x = 1,141,848.68
  5. Step 5: Solve for x
    x = 1,141,848.68/992.52
  6. Step 6: Final answer
    x = 1,150.45

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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.