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Finding the Fourth Proportional to 688.82, 1,032.80 and 323.24

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Solution

The fourth proportional to 688.82, 1,032.80 and 323.24 is: 484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.82 : 1,032.80 = 323.24 : x
  2. Step 2: Convert to fraction form
    688.82/1,032.80 = 323.24/x
  3. Step 3: Cross multiply
    688.82x = 1,032.80 × 323.24
  4. Step 4: Simplify right side
    688.82x = 333,835.49
  5. Step 5: Solve for x
    x = 333,835.49/688.82
  6. Step 6: Final answer
    x = 484.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.