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Finding the Fourth Proportional to 764.52, 1,147.50 and 331.98

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Solution

The fourth proportional to 764.52, 1,147.50 and 331.98 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.52 : 1,147.50 = 331.98 : x
  2. Step 2: Convert to fraction form
    764.52/1,147.50 = 331.98/x
  3. Step 3: Cross multiply
    764.52x = 1,147.50 × 331.98
  4. Step 4: Simplify right side
    764.52x = 380,947.05
  5. Step 5: Solve for x
    x = 380,947.05/764.52
  6. Step 6: Final answer
    x = 498.28

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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.