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Finding the Fourth Proportional to 1,161.15, 1,741.54 and 381.15

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Solution

The fourth proportional to 1,161.15, 1,741.54 and 381.15 is: 571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.15 : 1,741.54 = 381.15 : x
  2. Step 2: Convert to fraction form
    1,161.15/1,741.54 = 381.15/x
  3. Step 3: Cross multiply
    1,161.15x = 1,741.54 × 381.15
  4. Step 4: Simplify right side
    1,161.15x = 663,787.97
  5. Step 5: Solve for x
    x = 663,787.97/1,161.15
  6. Step 6: Final answer
    x = 571.66

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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.