Home / 1,176.12-1,764.18-310.43

Finding the Fourth Proportional to 1,176.12, 1,764.18 and 310.43

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Solution

The fourth proportional to 1,176.12, 1,764.18 and 310.43 is: 465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.12 : 1,764.18 = 310.43 : x
  2. Step 2: Convert to fraction form
    1,176.12/1,764.18 = 310.43/x
  3. Step 3: Cross multiply
    1,176.12x = 1,764.18 × 310.43
  4. Step 4: Simplify right side
    1,176.12x = 547,658.81
  5. Step 5: Solve for x
    x = 547,658.81/1,176.12
  6. Step 6: Final answer
    x = 465.65

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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.