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Finding the Fourth Proportional to 689.04, 950.32 and 426.56

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Solution

The fourth proportional to 689.04, 950.32 and 426.56 is: 588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.04 : 950.32 = 426.56 : x
  2. Step 2: Convert to fraction form
    689.04/950.32 = 426.56/x
  3. Step 3: Cross multiply
    689.04x = 950.32 × 426.56
  4. Step 4: Simplify right side
    689.04x = 405,368.50
  5. Step 5: Solve for x
    x = 405,368.50/689.04
  6. Step 6: Final answer
    x = 588.31

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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.