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Finding the Fourth Proportional to 902.05, 1,244.87 and 498.30

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Solution

The fourth proportional to 902.05, 1,244.87 and 498.30 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.05 : 1,244.87 = 498.30 : x
  2. Step 2: Convert to fraction form
    902.05/1,244.87 = 498.30/x
  3. Step 3: Cross multiply
    902.05x = 1,244.87 × 498.30
  4. Step 4: Simplify right side
    902.05x = 620,318.72
  5. Step 5: Solve for x
    x = 620,318.72/902.05
  6. Step 6: Final answer
    x = 687.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.