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Finding the Fourth Proportional to 689.70, 1,033.49 and 445.74

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Solution

The fourth proportional to 689.70, 1,033.49 and 445.74 is: 667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.70 : 1,033.49 = 445.74 : x
  2. Step 2: Convert to fraction form
    689.70/1,033.49 = 445.74/x
  3. Step 3: Cross multiply
    689.70x = 1,033.49 × 445.74
  4. Step 4: Simplify right side
    689.70x = 460,665.60
  5. Step 5: Solve for x
    x = 460,665.60/689.70
  6. Step 6: Final answer
    x = 667.92

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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.