Home / 1,176.09-1,764.20-310.38

Finding the Fourth Proportional to 1,176.09, 1,764.20 and 310.38

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Solution

The fourth proportional to 1,176.09, 1,764.20 and 310.38 is: 465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.09 : 1,764.20 = 310.38 : x
  2. Step 2: Convert to fraction form
    1,176.09/1,764.20 = 310.38/x
  3. Step 3: Cross multiply
    1,176.09x = 1,764.20 × 310.38
  4. Step 4: Simplify right side
    1,176.09x = 547,572.40
  5. Step 5: Solve for x
    x = 547,572.40/1,176.09
  6. Step 6: Final answer
    x = 465.59

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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.