Home / 1,176.45-1,764.68-310.75

Finding the Fourth Proportional to 1,176.45, 1,764.68 and 310.75

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Solution

The fourth proportional to 1,176.45, 1,764.68 and 310.75 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.45 : 1,764.68 = 310.75 : x
  2. Step 2: Convert to fraction form
    1,176.45/1,764.68 = 310.75/x
  3. Step 3: Cross multiply
    1,176.45x = 1,764.68 × 310.75
  4. Step 4: Simplify right side
    1,176.45x = 548,374.31
  5. Step 5: Solve for x
    x = 548,374.31/1,176.45
  6. Step 6: Final answer
    x = 466.13

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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.