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Finding the Fourth Proportional to 759.85, 1,133.96 and 677.84

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Solution

The fourth proportional to 759.85, 1,133.96 and 677.84 is: 1,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.85 : 1,133.96 = 677.84 : x
  2. Step 2: Convert to fraction form
    759.85/1,133.96 = 677.84/x
  3. Step 3: Cross multiply
    759.85x = 1,133.96 × 677.84
  4. Step 4: Simplify right side
    759.85x = 768,634.39
  5. Step 5: Solve for x
    x = 768,634.39/759.85
  6. Step 6: Final answer
    x = 1,011.56

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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.