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Finding the Fourth Proportional to 769.86, 1,149.17 and 705.06

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Solution

The fourth proportional to 769.86, 1,149.17 and 705.06 is: 1,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.86 : 1,149.17 = 705.06 : x
  2. Step 2: Convert to fraction form
    769.86/1,149.17 = 705.06/x
  3. Step 3: Cross multiply
    769.86x = 1,149.17 × 705.06
  4. Step 4: Simplify right side
    769.86x = 810,230.27
  5. Step 5: Solve for x
    x = 810,230.27/769.86
  6. Step 6: Final answer
    x = 1,052.44

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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.