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Finding the Fourth Proportional to 902.50, 1,352.78 and 382.38

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Solution

The fourth proportional to 902.50, 1,352.78 and 382.38 is: 573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.50 : 1,352.78 = 382.38 : x
  2. Step 2: Convert to fraction form
    902.50/1,352.78 = 382.38/x
  3. Step 3: Cross multiply
    902.50x = 1,352.78 × 382.38
  4. Step 4: Simplify right side
    902.50x = 517,276.02
  5. Step 5: Solve for x
    x = 517,276.02/902.50
  6. Step 6: Final answer
    x = 573.16

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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.