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Finding the Fourth Proportional to 1,092.35, 1,638.51 and 270.63

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Solution

The fourth proportional to 1,092.35, 1,638.51 and 270.63 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.35 : 1,638.51 = 270.63 : x
  2. Step 2: Convert to fraction form
    1,092.35/1,638.51 = 270.63/x
  3. Step 3: Cross multiply
    1,092.35x = 1,638.51 × 270.63
  4. Step 4: Simplify right side
    1,092.35x = 443,420.42
  5. Step 5: Solve for x
    x = 443,420.42/1,092.35
  6. Step 6: Final answer
    x = 405.93

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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.