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Finding the Fourth Proportional to 1,091.93, 1,638.12 and 361.49

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Solution

The fourth proportional to 1,091.93, 1,638.12 and 361.49 is: 542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.93 : 1,638.12 = 361.49 : x
  2. Step 2: Convert to fraction form
    1,091.93/1,638.12 = 361.49/x
  3. Step 3: Cross multiply
    1,091.93x = 1,638.12 × 361.49
  4. Step 4: Simplify right side
    1,091.93x = 592,164.00
  5. Step 5: Solve for x
    x = 592,164.00/1,091.93
  6. Step 6: Final answer
    x = 542.31

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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.