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Finding the Fourth Proportional to 689.82, 1,033.80 and 446.22

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Solution

The fourth proportional to 689.82, 1,033.80 and 446.22 is: 668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 1,033.80 = 446.22 : x
  2. Step 2: Convert to fraction form
    689.82/1,033.80 = 446.22/x
  3. Step 3: Cross multiply
    689.82x = 1,033.80 × 446.22
  4. Step 4: Simplify right side
    689.82x = 461,302.24
  5. Step 5: Solve for x
    x = 461,302.24/689.82
  6. Step 6: Final answer
    x = 668.73

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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.