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Finding the Fourth Proportional to 689.14, 1,033.73 and 323.83

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Solution

The fourth proportional to 689.14, 1,033.73 and 323.83 is: 485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.14 : 1,033.73 = 323.83 : x
  2. Step 2: Convert to fraction form
    689.14/1,033.73 = 323.83/x
  3. Step 3: Cross multiply
    689.14x = 1,033.73 × 323.83
  4. Step 4: Simplify right side
    689.14x = 334,752.79
  5. Step 5: Solve for x
    x = 334,752.79/689.14
  6. Step 6: Final answer
    x = 485.75

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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.