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Finding the Fourth Proportional to 764.67, 1,147.36 and 353.88

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Solution

The fourth proportional to 764.67, 1,147.36 and 353.88 is: 530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.67 : 1,147.36 = 353.88 : x
  2. Step 2: Convert to fraction form
    764.67/1,147.36 = 353.88/x
  3. Step 3: Cross multiply
    764.67x = 1,147.36 × 353.88
  4. Step 4: Simplify right side
    764.67x = 406,027.76
  5. Step 5: Solve for x
    x = 406,027.76/764.67
  6. Step 6: Final answer
    x = 530.98

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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.