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Finding the Fourth Proportional to 1,092.11, 1,637.84 and 442.69

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Solution

The fourth proportional to 1,092.11, 1,637.84 and 442.69 is: 663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.11 : 1,637.84 = 442.69 : x
  2. Step 2: Convert to fraction form
    1,092.11/1,637.84 = 442.69/x
  3. Step 3: Cross multiply
    1,092.11x = 1,637.84 × 442.69
  4. Step 4: Simplify right side
    1,092.11x = 725,052.40
  5. Step 5: Solve for x
    x = 725,052.40/1,092.11
  6. Step 6: Final answer
    x = 663.90

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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.