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Finding the Fourth Proportional to 911.77, 1,256.05 and 725.20

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Solution

The fourth proportional to 911.77, 1,256.05 and 725.20 is: 999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.77 : 1,256.05 = 725.20 : x
  2. Step 2: Convert to fraction form
    911.77/1,256.05 = 725.20/x
  3. Step 3: Cross multiply
    911.77x = 1,256.05 × 725.20
  4. Step 4: Simplify right side
    911.77x = 910,887.46
  5. Step 5: Solve for x
    x = 910,887.46/911.77
  6. Step 6: Final answer
    x = 999.03

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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.