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Finding the Fourth Proportional to 911.53, 1,258.23 and 818.11

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Solution

The fourth proportional to 911.53, 1,258.23 and 818.11 is: 1,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.53 : 1,258.23 = 818.11 : x
  2. Step 2: Convert to fraction form
    911.53/1,258.23 = 818.11/x
  3. Step 3: Cross multiply
    911.53x = 1,258.23 × 818.11
  4. Step 4: Simplify right side
    911.53x = 1,029,370.55
  5. Step 5: Solve for x
    x = 1,029,370.55/911.53
  6. Step 6: Final answer
    x = 1,129.28

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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.