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Finding the Fourth Proportional to 689.05, 950.41 and 440.25

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Solution

The fourth proportional to 689.05, 950.41 and 440.25 is: 607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.05 : 950.41 = 440.25 : x
  2. Step 2: Convert to fraction form
    689.05/950.41 = 440.25/x
  3. Step 3: Cross multiply
    689.05x = 950.41 × 440.25
  4. Step 4: Simplify right side
    689.05x = 418,422.12
  5. Step 5: Solve for x
    x = 418,422.12/689.05
  6. Step 6: Final answer
    x = 607.25

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.