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Finding the Fourth Proportional to 911.31, 1,257.58 and 538.28

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Solution

The fourth proportional to 911.31, 1,257.58 and 538.28 is: 742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.31 : 1,257.58 = 538.28 : x
  2. Step 2: Convert to fraction form
    911.31/1,257.58 = 538.28/x
  3. Step 3: Cross multiply
    911.31x = 1,257.58 × 538.28
  4. Step 4: Simplify right side
    911.31x = 676,931.96
  5. Step 5: Solve for x
    x = 676,931.96/911.31
  6. Step 6: Final answer
    x = 742.81

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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.