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Finding the Fourth Proportional to 764.87, 1,147.31 and 217.05

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Solution

The fourth proportional to 764.87, 1,147.31 and 217.05 is: 325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.87 : 1,147.31 = 217.05 : x
  2. Step 2: Convert to fraction form
    764.87/1,147.31 = 217.05/x
  3. Step 3: Cross multiply
    764.87x = 1,147.31 × 217.05
  4. Step 4: Simplify right side
    764.87x = 249,022.55
  5. Step 5: Solve for x
    x = 249,022.55/764.87
  6. Step 6: Final answer
    x = 325.58

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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.