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Finding the Fourth Proportional to 767.30, 1,146.13 and 754.34

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Solution

The fourth proportional to 767.30, 1,146.13 and 754.34 is: 1,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.30 : 1,146.13 = 754.34 : x
  2. Step 2: Convert to fraction form
    767.30/1,146.13 = 754.34/x
  3. Step 3: Cross multiply
    767.30x = 1,146.13 × 754.34
  4. Step 4: Simplify right side
    767.30x = 864,571.70
  5. Step 5: Solve for x
    x = 864,571.70/767.30
  6. Step 6: Final answer
    x = 1,126.77

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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.