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Finding the Fourth Proportional to 902.08, 1,244.90 and 498.28

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Solution

The fourth proportional to 902.08, 1,244.90 and 498.28 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.08 : 1,244.90 = 498.28 : x
  2. Step 2: Convert to fraction form
    902.08/1,244.90 = 498.28/x
  3. Step 3: Cross multiply
    902.08x = 1,244.90 × 498.28
  4. Step 4: Simplify right side
    902.08x = 620,308.77
  5. Step 5: Solve for x
    x = 620,308.77/902.08
  6. Step 6: Final answer
    x = 687.64

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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.