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Finding the Fourth Proportional to 911.53, 1,257.98 and 538.55

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Solution

The fourth proportional to 911.53, 1,257.98 and 538.55 is: 743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.53 : 1,257.98 = 538.55 : x
  2. Step 2: Convert to fraction form
    911.53/1,257.98 = 538.55/x
  3. Step 3: Cross multiply
    911.53x = 1,257.98 × 538.55
  4. Step 4: Simplify right side
    911.53x = 677,483.89
  5. Step 5: Solve for x
    x = 677,483.89/911.53
  6. Step 6: Final answer
    x = 743.23

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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.