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Finding the Fourth Proportional to 806.14, 1,112.20 and 557.37

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Solution

The fourth proportional to 806.14, 1,112.20 and 557.37 is: 768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.14 : 1,112.20 = 557.37 : x
  2. Step 2: Convert to fraction form
    806.14/1,112.20 = 557.37/x
  3. Step 3: Cross multiply
    806.14x = 1,112.20 × 557.37
  4. Step 4: Simplify right side
    806.14x = 619,906.91
  5. Step 5: Solve for x
    x = 619,906.91/806.14
  6. Step 6: Final answer
    x = 768.98

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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.