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Finding the Fourth Proportional to 902.12, 1,243.78 and 606.76

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Solution

The fourth proportional to 902.12, 1,243.78 and 606.76 is: 836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.12 : 1,243.78 = 606.76 : x
  2. Step 2: Convert to fraction form
    902.12/1,243.78 = 606.76/x
  3. Step 3: Cross multiply
    902.12x = 1,243.78 × 606.76
  4. Step 4: Simplify right side
    902.12x = 754,675.95
  5. Step 5: Solve for x
    x = 754,675.95/902.12
  6. Step 6: Final answer
    x = 836.56

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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.