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Finding the Fourth Proportional to 768.29, 1,147.22 and 610.34

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Solution

The fourth proportional to 768.29, 1,147.22 and 610.34 is: 911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.29 : 1,147.22 = 610.34 : x
  2. Step 2: Convert to fraction form
    768.29/1,147.22 = 610.34/x
  3. Step 3: Cross multiply
    768.29x = 1,147.22 × 610.34
  4. Step 4: Simplify right side
    768.29x = 700,187.76
  5. Step 5: Solve for x
    x = 700,187.76/768.29
  6. Step 6: Final answer
    x = 911.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.