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Finding the Fourth Proportional to 743.63, 1,112.81 and 548.17

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Solution

The fourth proportional to 743.63, 1,112.81 and 548.17 is: 820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.63 : 1,112.81 = 548.17 : x
  2. Step 2: Convert to fraction form
    743.63/1,112.81 = 548.17/x
  3. Step 3: Cross multiply
    743.63x = 1,112.81 × 548.17
  4. Step 4: Simplify right side
    743.63x = 610,010.43
  5. Step 5: Solve for x
    x = 610,010.43/743.63
  6. Step 6: Final answer
    x = 820.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.