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Finding the Fourth Proportional to 764.61, 1,147.10 and 216.78

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Solution

The fourth proportional to 764.61, 1,147.10 and 216.78 is: 325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.61 : 1,147.10 = 216.78 : x
  2. Step 2: Convert to fraction form
    764.61/1,147.10 = 216.78/x
  3. Step 3: Cross multiply
    764.61x = 1,147.10 × 216.78
  4. Step 4: Simplify right side
    764.61x = 248,667.25
  5. Step 5: Solve for x
    x = 248,667.25/764.61
  6. Step 6: Final answer
    x = 325.22

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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.