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Finding the Fourth Proportional to 992.66, 1,489.01 and 415.22

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Solution

The fourth proportional to 992.66, 1,489.01 and 415.22 is: 622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.66 : 1,489.01 = 415.22 : x
  2. Step 2: Convert to fraction form
    992.66/1,489.01 = 415.22/x
  3. Step 3: Cross multiply
    992.66x = 1,489.01 × 415.22
  4. Step 4: Simplify right side
    992.66x = 618,257.21
  5. Step 5: Solve for x
    x = 618,257.21/992.66
  6. Step 6: Final answer
    x = 622.83

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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.