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Finding the Fourth Proportional to 1,176.56, 1,764.69 and 354.62

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Solution

The fourth proportional to 1,176.56, 1,764.69 and 354.62 is: 531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.56 : 1,764.69 = 354.62 : x
  2. Step 2: Convert to fraction form
    1,176.56/1,764.69 = 354.62/x
  3. Step 3: Cross multiply
    1,176.56x = 1,764.69 × 354.62
  4. Step 4: Simplify right side
    1,176.56x = 625,794.37
  5. Step 5: Solve for x
    x = 625,794.37/1,176.56
  6. Step 6: Final answer
    x = 531.88

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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.