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Finding the Fourth Proportional to 902.78, 1,353.54 and 382.65

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Solution

The fourth proportional to 902.78, 1,353.54 and 382.65 is: 573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.78 : 1,353.54 = 382.65 : x
  2. Step 2: Convert to fraction form
    902.78/1,353.54 = 382.65/x
  3. Step 3: Cross multiply
    902.78x = 1,353.54 × 382.65
  4. Step 4: Simplify right side
    902.78x = 517,932.08
  5. Step 5: Solve for x
    x = 517,932.08/902.78
  6. Step 6: Final answer
    x = 573.71

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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.