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Finding the Fourth Proportional to 902.94, 1,353.39 and 382.62

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Solution

The fourth proportional to 902.94, 1,353.39 and 382.62 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.94 : 1,353.39 = 382.62 : x
  2. Step 2: Convert to fraction form
    902.94/1,353.39 = 382.62/x
  3. Step 3: Cross multiply
    902.94x = 1,353.39 × 382.62
  4. Step 4: Simplify right side
    902.94x = 517,832.17
  5. Step 5: Solve for x
    x = 517,832.17/902.94
  6. Step 6: Final answer
    x = 573.50

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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.