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Finding the Fourth Proportional to 1,167.86, 1,751.97 and 387.86

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Solution

The fourth proportional to 1,167.86, 1,751.97 and 387.86 is: 581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.86 : 1,751.97 = 387.86 : x
  2. Step 2: Convert to fraction form
    1,167.86/1,751.97 = 387.86/x
  3. Step 3: Cross multiply
    1,167.86x = 1,751.97 × 387.86
  4. Step 4: Simplify right side
    1,167.86x = 679,519.08
  5. Step 5: Solve for x
    x = 679,519.08/1,167.86
  6. Step 6: Final answer
    x = 581.85

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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.