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Finding the Fourth Proportional to 911.01, 1,357.97 and 852.58

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Solution

The fourth proportional to 911.01, 1,357.97 and 852.58 is: 1,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.01 : 1,357.97 = 852.58 : x
  2. Step 2: Convert to fraction form
    911.01/1,357.97 = 852.58/x
  3. Step 3: Cross multiply
    911.01x = 1,357.97 × 852.58
  4. Step 4: Simplify right side
    911.01x = 1,157,778.06
  5. Step 5: Solve for x
    x = 1,157,778.06/911.01
  6. Step 6: Final answer
    x = 1,270.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.