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Finding the Fourth Proportional to 911.25, 1,257.32 and 538.25

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Solution

The fourth proportional to 911.25, 1,257.32 and 538.25 is: 742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.25 : 1,257.32 = 538.25 : x
  2. Step 2: Convert to fraction form
    911.25/1,257.32 = 538.25/x
  3. Step 3: Cross multiply
    911.25x = 1,257.32 × 538.25
  4. Step 4: Simplify right side
    911.25x = 676,747.55
  5. Step 5: Solve for x
    x = 676,747.55/911.25
  6. Step 6: Final answer
    x = 742.66

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1.5x scale

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.