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Finding the Fourth Proportional to 911.44, 1,256.55 and 725.53

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Solution

The fourth proportional to 911.44, 1,256.55 and 725.53 is: 1,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.44 : 1,256.55 = 725.53 : x
  2. Step 2: Convert to fraction form
    911.44/1,256.55 = 725.53/x
  3. Step 3: Cross multiply
    911.44x = 1,256.55 × 725.53
  4. Step 4: Simplify right side
    911.44x = 911,664.72
  5. Step 5: Solve for x
    x = 911,664.72/911.44
  6. Step 6: Final answer
    x = 1,000.25

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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.