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Finding the Fourth Proportional to 1,155.33, 1,732.46 and 333.42

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Solution

The fourth proportional to 1,155.33, 1,732.46 and 333.42 is: 499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.33 : 1,732.46 = 333.42 : x
  2. Step 2: Convert to fraction form
    1,155.33/1,732.46 = 333.42/x
  3. Step 3: Cross multiply
    1,155.33x = 1,732.46 × 333.42
  4. Step 4: Simplify right side
    1,155.33x = 577,628.65
  5. Step 5: Solve for x
    x = 577,628.65/1,155.33
  6. Step 6: Final answer
    x = 499.97

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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.