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Finding the Fourth Proportional to 911.31, 1,266.05 and 902.75

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Solution

The fourth proportional to 911.31, 1,266.05 and 902.75 is: 1,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.31 : 1,266.05 = 902.75 : x
  2. Step 2: Convert to fraction form
    911.31/1,266.05 = 902.75/x
  3. Step 3: Cross multiply
    911.31x = 1,266.05 × 902.75
  4. Step 4: Simplify right side
    911.31x = 1,142,915.79
  5. Step 5: Solve for x
    x = 1,142,915.79/911.31
  6. Step 6: Final answer
    x = 1,254.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.