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Finding the Fourth Proportional to 911.82, 1,257.21 and 807.33

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Solution

The fourth proportional to 911.82, 1,257.21 and 807.33 is: 1,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.82 : 1,257.21 = 807.33 : x
  2. Step 2: Convert to fraction form
    911.82/1,257.21 = 807.33/x
  3. Step 3: Cross multiply
    911.82x = 1,257.21 × 807.33
  4. Step 4: Simplify right side
    911.82x = 1,014,983.35
  5. Step 5: Solve for x
    x = 1,014,983.35/911.82
  6. Step 6: Final answer
    x = 1,113.14

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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.