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Finding the Fourth Proportional to 689.27, 1,033.90 and 202.66

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Solution

The fourth proportional to 689.27, 1,033.90 and 202.66 is: 303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.27 : 1,033.90 = 202.66 : x
  2. Step 2: Convert to fraction form
    689.27/1,033.90 = 202.66/x
  3. Step 3: Cross multiply
    689.27x = 1,033.90 × 202.66
  4. Step 4: Simplify right side
    689.27x = 209,527.08
  5. Step 5: Solve for x
    x = 209,527.08/689.27
  6. Step 6: Final answer
    x = 303.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.