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Finding the Fourth Proportional to 689.08, 950.97 and 427.18

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Solution

The fourth proportional to 689.08, 950.97 and 427.18 is: 589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.08 : 950.97 = 427.18 : x
  2. Step 2: Convert to fraction form
    689.08/950.97 = 427.18/x
  3. Step 3: Cross multiply
    689.08x = 950.97 × 427.18
  4. Step 4: Simplify right side
    689.08x = 406,235.36
  5. Step 5: Solve for x
    x = 406,235.36/689.08
  6. Step 6: Final answer
    x = 589.53

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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.