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Finding the Fourth Proportional to 689.38, 950.91 and 409.42

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Solution

The fourth proportional to 689.38, 950.91 and 409.42 is: 564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.38 : 950.91 = 409.42 : x
  2. Step 2: Convert to fraction form
    689.38/950.91 = 409.42/x
  3. Step 3: Cross multiply
    689.38x = 950.91 × 409.42
  4. Step 4: Simplify right side
    689.38x = 389,316.82
  5. Step 5: Solve for x
    x = 389,316.82/689.38
  6. Step 6: Final answer
    x = 564.73

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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.