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Finding the Fourth Proportional to 992.67, 1,489.96 and 829.18

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Solution

The fourth proportional to 992.67, 1,489.96 and 829.18 is: 1,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.67 : 1,489.96 = 829.18 : x
  2. Step 2: Convert to fraction form
    992.67/1,489.96 = 829.18/x
  3. Step 3: Cross multiply
    992.67x = 1,489.96 × 829.18
  4. Step 4: Simplify right side
    992.67x = 1,235,447.93
  5. Step 5: Solve for x
    x = 1,235,447.93/992.67
  6. Step 6: Final answer
    x = 1,244.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.