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Finding the Fourth Proportional to 992.08, 1,486.90 and 444.25

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Solution

The fourth proportional to 992.08, 1,486.90 and 444.25 is: 665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.08 : 1,486.90 = 444.25 : x
  2. Step 2: Convert to fraction form
    992.08/1,486.90 = 444.25/x
  3. Step 3: Cross multiply
    992.08x = 1,486.90 × 444.25
  4. Step 4: Simplify right side
    992.08x = 660,555.33
  5. Step 5: Solve for x
    x = 660,555.33/992.08
  6. Step 6: Final answer
    x = 665.83

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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.