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Finding the Fourth Proportional to 911.82, 1,258.30 and 518.82

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Solution

The fourth proportional to 911.82, 1,258.30 and 518.82 is: 715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.82 : 1,258.30 = 518.82 : x
  2. Step 2: Convert to fraction form
    911.82/1,258.30 = 518.82/x
  3. Step 3: Cross multiply
    911.82x = 1,258.30 × 518.82
  4. Step 4: Simplify right side
    911.82x = 652,831.21
  5. Step 5: Solve for x
    x = 652,831.21/911.82
  6. Step 6: Final answer
    x = 715.96

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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.