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Finding the Fourth Proportional to 767.11, 1,148.37 and 664.51

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Solution

The fourth proportional to 767.11, 1,148.37 and 664.51 is: 994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.11 : 1,148.37 = 664.51 : x
  2. Step 2: Convert to fraction form
    767.11/1,148.37 = 664.51/x
  3. Step 3: Cross multiply
    767.11x = 1,148.37 × 664.51
  4. Step 4: Simplify right side
    767.11x = 763,103.35
  5. Step 5: Solve for x
    x = 763,103.35/767.11
  6. Step 6: Final answer
    x = 994.78

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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.