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Finding the Fourth Proportional to 911.43, 1,257.77 and 513.11

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Solution

The fourth proportional to 911.43, 1,257.77 and 513.11 is: 708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.43 : 1,257.77 = 513.11 : x
  2. Step 2: Convert to fraction form
    911.43/1,257.77 = 513.11/x
  3. Step 3: Cross multiply
    911.43x = 1,257.77 × 513.11
  4. Step 4: Simplify right side
    911.43x = 645,365.51
  5. Step 5: Solve for x
    x = 645,365.51/911.43
  6. Step 6: Final answer
    x = 708.08

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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.