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Finding the Fourth Proportional to 1,176.33, 1,764.50 and 310.65

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Solution

The fourth proportional to 1,176.33, 1,764.50 and 310.65 is: 465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.33 : 1,764.50 = 310.65 : x
  2. Step 2: Convert to fraction form
    1,176.33/1,764.50 = 310.65/x
  3. Step 3: Cross multiply
    1,176.33x = 1,764.50 × 310.65
  4. Step 4: Simplify right side
    1,176.33x = 548,140.37
  5. Step 5: Solve for x
    x = 548,140.37/1,176.33
  6. Step 6: Final answer
    x = 465.98

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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.