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Finding the Fourth Proportional to 911.36, 1,258.26 and 795.53

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Solution

The fourth proportional to 911.36, 1,258.26 and 795.53 is: 1,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.36 : 1,258.26 = 795.53 : x
  2. Step 2: Convert to fraction form
    911.36/1,258.26 = 795.53/x
  3. Step 3: Cross multiply
    911.36x = 1,258.26 × 795.53
  4. Step 4: Simplify right side
    911.36x = 1,000,983.58
  5. Step 5: Solve for x
    x = 1,000,983.58/911.36
  6. Step 6: Final answer
    x = 1,098.34

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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.