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Finding the Fourth Proportional to 689.32, 945.11 and 682.84

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Solution

The fourth proportional to 689.32, 945.11 and 682.84 is: 936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.32 : 945.11 = 682.84 : x
  2. Step 2: Convert to fraction form
    689.32/945.11 = 682.84/x
  3. Step 3: Cross multiply
    689.32x = 945.11 × 682.84
  4. Step 4: Simplify right side
    689.32x = 645,358.91
  5. Step 5: Solve for x
    x = 645,358.91/689.32
  6. Step 6: Final answer
    x = 936.23

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1.5x scale

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.