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Finding the Fourth Proportional to 911.73, 1,258.34 and 562.44

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Solution

The fourth proportional to 911.73, 1,258.34 and 562.44 is: 776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.73 : 1,258.34 = 562.44 : x
  2. Step 2: Convert to fraction form
    911.73/1,258.34 = 562.44/x
  3. Step 3: Cross multiply
    911.73x = 1,258.34 × 562.44
  4. Step 4: Simplify right side
    911.73x = 707,737.94
  5. Step 5: Solve for x
    x = 707,737.94/911.73
  6. Step 6: Final answer
    x = 776.26

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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.