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Finding the Fourth Proportional to 764.69, 1,147.08 and 216.83

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Solution

The fourth proportional to 764.69, 1,147.08 and 216.83 is: 325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.69 : 1,147.08 = 216.83 : x
  2. Step 2: Convert to fraction form
    764.69/1,147.08 = 216.83/x
  3. Step 3: Cross multiply
    764.69x = 1,147.08 × 216.83
  4. Step 4: Simplify right side
    764.69x = 248,718.66
  5. Step 5: Solve for x
    x = 248,718.66/764.69
  6. Step 6: Final answer
    x = 325.25

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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.