Home / 1,191.38-1,787.74-542.09

Finding the Fourth Proportional to 1,191.38, 1,787.74 and 542.09

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Solution

The fourth proportional to 1,191.38, 1,787.74 and 542.09 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.38 : 1,787.74 = 542.09 : x
  2. Step 2: Convert to fraction form
    1,191.38/1,787.74 = 542.09/x
  3. Step 3: Cross multiply
    1,191.38x = 1,787.74 × 542.09
  4. Step 4: Simplify right side
    1,191.38x = 969,119.09
  5. Step 5: Solve for x
    x = 969,119.09/1,191.38
  6. Step 6: Final answer
    x = 813.45

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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.