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Finding the Fourth Proportional to 705.38, 980.19 and 697.82

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Solution

The fourth proportional to 705.38, 980.19 and 697.82 is: 969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 980.19 = 697.82 : x
  2. Step 2: Convert to fraction form
    705.38/980.19 = 697.82/x
  3. Step 3: Cross multiply
    705.38x = 980.19 × 697.82
  4. Step 4: Simplify right side
    705.38x = 683,991.28
  5. Step 5: Solve for x
    x = 683,991.28/705.38
  6. Step 6: Final answer
    x = 969.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.