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Finding the Fourth Proportional to 689.15, 950.96 and 409.34

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Solution

The fourth proportional to 689.15, 950.96 and 409.34 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.15 : 950.96 = 409.34 : x
  2. Step 2: Convert to fraction form
    689.15/950.96 = 409.34/x
  3. Step 3: Cross multiply
    689.15x = 950.96 × 409.34
  4. Step 4: Simplify right side
    689.15x = 389,261.21
  5. Step 5: Solve for x
    x = 389,261.21/689.15
  6. Step 6: Final answer
    x = 564.85

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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.