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Finding the Fourth Proportional to 911.90, 1,256.22 and 725.33

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Solution

The fourth proportional to 911.90, 1,256.22 and 725.33 is: 999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.90 : 1,256.22 = 725.33 : x
  2. Step 2: Convert to fraction form
    911.90/1,256.22 = 725.33/x
  3. Step 3: Cross multiply
    911.90x = 1,256.22 × 725.33
  4. Step 4: Simplify right side
    911.90x = 911,167.77
  5. Step 5: Solve for x
    x = 911,167.77/911.90
  6. Step 6: Final answer
    x = 999.20

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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.