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Finding the Fourth Proportional to 1,092.10, 1,638.30 and 398.60

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Solution

The fourth proportional to 1,092.10, 1,638.30 and 398.60 is: 597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.10 : 1,638.30 = 398.60 : x
  2. Step 2: Convert to fraction form
    1,092.10/1,638.30 = 398.60/x
  3. Step 3: Cross multiply
    1,092.10x = 1,638.30 × 398.60
  4. Step 4: Simplify right side
    1,092.10x = 653,026.38
  5. Step 5: Solve for x
    x = 653,026.38/1,092.10
  6. Step 6: Final answer
    x = 597.95

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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.