Home / 1,176.23-1,764.32-310.55

Finding the Fourth Proportional to 1,176.23, 1,764.32 and 310.55

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Solution

The fourth proportional to 1,176.23, 1,764.32 and 310.55 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.23 : 1,764.32 = 310.55 : x
  2. Step 2: Convert to fraction form
    1,176.23/1,764.32 = 310.55/x
  3. Step 3: Cross multiply
    1,176.23x = 1,764.32 × 310.55
  4. Step 4: Simplify right side
    1,176.23x = 547,908.02
  5. Step 5: Solve for x
    x = 547,908.02/1,176.23
  6. Step 6: Final answer
    x = 465.82

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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.