Home / 1,176.26-1,764.38-310.57

Finding the Fourth Proportional to 1,176.26, 1,764.38 and 310.57

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Solution

The fourth proportional to 1,176.26, 1,764.38 and 310.57 is: 465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.26 : 1,764.38 = 310.57 : x
  2. Step 2: Convert to fraction form
    1,176.26/1,764.38 = 310.57/x
  3. Step 3: Cross multiply
    1,176.26x = 1,764.38 × 310.57
  4. Step 4: Simplify right side
    1,176.26x = 547,959.86
  5. Step 5: Solve for x
    x = 547,959.86/1,176.26
  6. Step 6: Final answer
    x = 465.85

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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.