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Finding the Fourth Proportional to 706.89, 969.43 and 677.33

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Solution

The fourth proportional to 706.89, 969.43 and 677.33 is: 928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.89 : 969.43 = 677.33 : x
  2. Step 2: Convert to fraction form
    706.89/969.43 = 677.33/x
  3. Step 3: Cross multiply
    706.89x = 969.43 × 677.33
  4. Step 4: Simplify right side
    706.89x = 656,624.02
  5. Step 5: Solve for x
    x = 656,624.02/706.89
  6. Step 6: Final answer
    x = 928.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.