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Finding the Fourth Proportional to 770.27, 1,150.09 and 762.48

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Solution

The fourth proportional to 770.27, 1,150.09 and 762.48 is: 1,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.27 : 1,150.09 = 762.48 : x
  2. Step 2: Convert to fraction form
    770.27/1,150.09 = 762.48/x
  3. Step 3: Cross multiply
    770.27x = 1,150.09 × 762.48
  4. Step 4: Simplify right side
    770.27x = 876,918.72
  5. Step 5: Solve for x
    x = 876,918.72/770.27
  6. Step 6: Final answer
    x = 1,138.46

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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.