Home / 1,176.28-1,764.48-310.61

Finding the Fourth Proportional to 1,176.28, 1,764.48 and 310.61

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Solution

The fourth proportional to 1,176.28, 1,764.48 and 310.61 is: 465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.28 : 1,764.48 = 310.61 : x
  2. Step 2: Convert to fraction form
    1,176.28/1,764.48 = 310.61/x
  3. Step 3: Cross multiply
    1,176.28x = 1,764.48 × 310.61
  4. Step 4: Simplify right side
    1,176.28x = 548,065.13
  5. Step 5: Solve for x
    x = 548,065.13/1,176.28
  6. Step 6: Final answer
    x = 465.93

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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.