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Finding the Fourth Proportional to 902.12, 1,244.82 and 509.11

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Solution

The fourth proportional to 902.12, 1,244.82 and 509.11 is: 702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.12 : 1,244.82 = 509.11 : x
  2. Step 2: Convert to fraction form
    902.12/1,244.82 = 509.11/x
  3. Step 3: Cross multiply
    902.12x = 1,244.82 × 509.11
  4. Step 4: Simplify right side
    902.12x = 633,744.09
  5. Step 5: Solve for x
    x = 633,744.09/902.12
  6. Step 6: Final answer
    x = 702.51

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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.