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Finding the Fourth Proportional to 766.11, 1,149.16 and 738.77

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Solution

The fourth proportional to 766.11, 1,149.16 and 738.77 is: 1,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.11 : 1,149.16 = 738.77 : x
  2. Step 2: Convert to fraction form
    766.11/1,149.16 = 738.77/x
  3. Step 3: Cross multiply
    766.11x = 1,149.16 × 738.77
  4. Step 4: Simplify right side
    766.11x = 848,967.27
  5. Step 5: Solve for x
    x = 848,967.27/766.11
  6. Step 6: Final answer
    x = 1,108.16

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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.