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Finding the Fourth Proportional to 911.32, 1,258.03 and 538.18

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Solution

The fourth proportional to 911.32, 1,258.03 and 538.18 is: 742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.32 : 1,258.03 = 538.18 : x
  2. Step 2: Convert to fraction form
    911.32/1,258.03 = 538.18/x
  3. Step 3: Cross multiply
    911.32x = 1,258.03 × 538.18
  4. Step 4: Simplify right side
    911.32x = 677,044.11
  5. Step 5: Solve for x
    x = 677,044.11/911.32
  6. Step 6: Final answer
    x = 742.93

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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.