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Finding the Fourth Proportional to 689.64, 1,033.74 and 324.06

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Solution

The fourth proportional to 689.64, 1,033.74 and 324.06 is: 485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.64 : 1,033.74 = 324.06 : x
  2. Step 2: Convert to fraction form
    689.64/1,033.74 = 324.06/x
  3. Step 3: Cross multiply
    689.64x = 1,033.74 × 324.06
  4. Step 4: Simplify right side
    689.64x = 334,993.78
  5. Step 5: Solve for x
    x = 334,993.78/689.64
  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.