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Finding the Fourth Proportional to 769.69, 1,151.49 and 525.48

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Solution

The fourth proportional to 769.69, 1,151.49 and 525.48 is: 786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.69 : 1,151.49 = 525.48 : x
  2. Step 2: Convert to fraction form
    769.69/1,151.49 = 525.48/x
  3. Step 3: Cross multiply
    769.69x = 1,151.49 × 525.48
  4. Step 4: Simplify right side
    769.69x = 605,084.97
  5. Step 5: Solve for x
    x = 605,084.97/769.69
  6. Step 6: Final answer
    x = 786.14

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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.