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Finding the Fourth Proportional to 902.04, 1,244.56 and 509

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Solution

The fourth proportional to 902.04, 1,244.56 and 509 is: 702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.04 : 1,244.56 = 509 : x
  2. Step 2: Convert to fraction form
    902.04/1,244.56 = 509/x
  3. Step 3: Cross multiply
    902.04x = 1,244.56 × 509
  4. Step 4: Simplify right side
    902.04x = 633,481.04
  5. Step 5: Solve for x
    x = 633,481.04/902.04
  6. Step 6: Final answer
    x = 702.28

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