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Finding the Fourth Proportional to 689.96, 952.23 and 424.44

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Solution

The fourth proportional to 689.96, 952.23 and 424.44 is: 585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.96 : 952.23 = 424.44 : x
  2. Step 2: Convert to fraction form
    689.96/952.23 = 424.44/x
  3. Step 3: Cross multiply
    689.96x = 952.23 × 424.44
  4. Step 4: Simplify right side
    689.96x = 404,164.50
  5. Step 5: Solve for x
    x = 404,164.50/689.96
  6. Step 6: Final answer
    x = 585.78

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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.