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Finding the Fourth Proportional to 769.47, 1,151.73 and 606.66

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Solution

The fourth proportional to 769.47, 1,151.73 and 606.66 is: 908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.47 : 1,151.73 = 606.66 : x
  2. Step 2: Convert to fraction form
    769.47/1,151.73 = 606.66/x
  3. Step 3: Cross multiply
    769.47x = 1,151.73 × 606.66
  4. Step 4: Simplify right side
    769.47x = 698,708.52
  5. Step 5: Solve for x
    x = 698,708.52/769.47
  6. Step 6: Final answer
    x = 908.04

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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.