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Finding the Fourth Proportional to 992.12, 1,486.02 and 717.61

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Solution

The fourth proportional to 992.12, 1,486.02 and 717.61 is: 1,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.12 : 1,486.02 = 717.61 : x
  2. Step 2: Convert to fraction form
    992.12/1,486.02 = 717.61/x
  3. Step 3: Cross multiply
    992.12x = 1,486.02 × 717.61
  4. Step 4: Simplify right side
    992.12x = 1,066,382.56
  5. Step 5: Solve for x
    x = 1,066,382.56/992.12
  6. Step 6: Final answer
    x = 1,074.85

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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.