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Finding the Fourth Proportional to 992.24, 1,489.04 and 342.97

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Solution

The fourth proportional to 992.24, 1,489.04 and 342.97 is: 514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.24 : 1,489.04 = 342.97 : x
  2. Step 2: Convert to fraction form
    992.24/1,489.04 = 342.97/x
  3. Step 3: Cross multiply
    992.24x = 1,489.04 × 342.97
  4. Step 4: Simplify right side
    992.24x = 510,694.33
  5. Step 5: Solve for x
    x = 510,694.33/992.24
  6. Step 6: Final answer
    x = 514.69

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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.