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Finding the Fourth Proportional to 688.59, 1,033.20 and 323.46

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Solution

The fourth proportional to 688.59, 1,033.20 and 323.46 is: 485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.59 : 1,033.20 = 323.46 : x
  2. Step 2: Convert to fraction form
    688.59/1,033.20 = 323.46/x
  3. Step 3: Cross multiply
    688.59x = 1,033.20 × 323.46
  4. Step 4: Simplify right side
    688.59x = 334,198.87
  5. Step 5: Solve for x
    x = 334,198.87/688.59
  6. Step 6: Final answer
    x = 485.34

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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.