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Finding the Fourth Proportional to 689.15, 950.26 and 468.22

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Solution

The fourth proportional to 689.15, 950.26 and 468.22 is: 645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.15 : 950.26 = 468.22 : x
  2. Step 2: Convert to fraction form
    689.15/950.26 = 468.22/x
  3. Step 3: Cross multiply
    689.15x = 950.26 × 468.22
  4. Step 4: Simplify right side
    689.15x = 444,930.74
  5. Step 5: Solve for x
    x = 444,930.74/689.15
  6. Step 6: Final answer
    x = 645.62

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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.