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Finding the Fourth Proportional to 764.68, 1,147.13 and 244.63

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Solution

The fourth proportional to 764.68, 1,147.13 and 244.63 is: 366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.68 : 1,147.13 = 244.63 : x
  2. Step 2: Convert to fraction form
    764.68/1,147.13 = 244.63/x
  3. Step 3: Cross multiply
    764.68x = 1,147.13 × 244.63
  4. Step 4: Simplify right side
    764.68x = 280,622.41
  5. Step 5: Solve for x
    x = 280,622.41/764.68
  6. Step 6: Final answer
    x = 366.98

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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.