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Finding the Fourth Proportional to 767.38, 1,145.13 and 685.34

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Solution

The fourth proportional to 767.38, 1,145.13 and 685.34 is: 1,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.38 : 1,145.13 = 685.34 : x
  2. Step 2: Convert to fraction form
    767.38/1,145.13 = 685.34/x
  3. Step 3: Cross multiply
    767.38x = 1,145.13 × 685.34
  4. Step 4: Simplify right side
    767.38x = 784,803.39
  5. Step 5: Solve for x
    x = 784,803.39/767.38
  6. Step 6: Final answer
    x = 1,022.71

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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.