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Finding the Fourth Proportional to 911.63, 1,258.19 and 580.21

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Solution

The fourth proportional to 911.63, 1,258.19 and 580.21 is: 800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.63 : 1,258.19 = 580.21 : x
  2. Step 2: Convert to fraction form
    911.63/1,258.19 = 580.21/x
  3. Step 3: Cross multiply
    911.63x = 1,258.19 × 580.21
  4. Step 4: Simplify right side
    911.63x = 730,014.42
  5. Step 5: Solve for x
    x = 730,014.42/911.63
  6. Step 6: Final answer
    x = 800.78

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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.