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Finding the Fourth Proportional to 1,092.34, 1,638.78 and 361.93

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Solution

The fourth proportional to 1,092.34, 1,638.78 and 361.93 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.34 : 1,638.78 = 361.93 : x
  2. Step 2: Convert to fraction form
    1,092.34/1,638.78 = 361.93/x
  3. Step 3: Cross multiply
    1,092.34x = 1,638.78 × 361.93
  4. Step 4: Simplify right side
    1,092.34x = 593,123.65
  5. Step 5: Solve for x
    x = 593,123.65/1,092.34
  6. Step 6: Final answer
    x = 542.98

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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.