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Finding the Fourth Proportional to 806.19, 1,112.42 and 474.56

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Solution

The fourth proportional to 806.19, 1,112.42 and 474.56 is: 654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.19 : 1,112.42 = 474.56 : x
  2. Step 2: Convert to fraction form
    806.19/1,112.42 = 474.56/x
  3. Step 3: Cross multiply
    806.19x = 1,112.42 × 474.56
  4. Step 4: Simplify right side
    806.19x = 527,902.10
  5. Step 5: Solve for x
    x = 527,902.10/806.19
  6. Step 6: Final answer
    x = 654.81

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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.