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Finding the Fourth Proportional to 902.17, 1,243.27 and 621.89

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Solution

The fourth proportional to 902.17, 1,243.27 and 621.89 is: 857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.17 : 1,243.27 = 621.89 : x
  2. Step 2: Convert to fraction form
    902.17/1,243.27 = 621.89/x
  3. Step 3: Cross multiply
    902.17x = 1,243.27 × 621.89
  4. Step 4: Simplify right side
    902.17x = 773,178.73
  5. Step 5: Solve for x
    x = 773,178.73/902.17
  6. Step 6: Final answer
    x = 857.02

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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.