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Finding the Fourth Proportional to 767.23, 1,144.95 and 685.21

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Solution

The fourth proportional to 767.23, 1,144.95 and 685.21 is: 1,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.23 : 1,144.95 = 685.21 : x
  2. Step 2: Convert to fraction form
    767.23/1,144.95 = 685.21/x
  3. Step 3: Cross multiply
    767.23x = 1,144.95 × 685.21
  4. Step 4: Simplify right side
    767.23x = 784,531.19
  5. Step 5: Solve for x
    x = 784,531.19/767.23
  6. Step 6: Final answer
    x = 1,022.56

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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.