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Finding the Fourth Proportional to 806.14, 1,112.46 and 456.84

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Solution

The fourth proportional to 806.14, 1,112.46 and 456.84 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.14 : 1,112.46 = 456.84 : x
  2. Step 2: Convert to fraction form
    806.14/1,112.46 = 456.84/x
  3. Step 3: Cross multiply
    806.14x = 1,112.46 × 456.84
  4. Step 4: Simplify right side
    806.14x = 508,216.23
  5. Step 5: Solve for x
    x = 508,216.23/806.14
  6. Step 6: Final answer
    x = 630.43

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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.