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Finding the Fourth Proportional to 743.20, 1,112.76 and 622.12

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Solution

The fourth proportional to 743.20, 1,112.76 and 622.12 is: 931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.20 : 1,112.76 = 622.12 : x
  2. Step 2: Convert to fraction form
    743.20/1,112.76 = 622.12/x
  3. Step 3: Cross multiply
    743.20x = 1,112.76 × 622.12
  4. Step 4: Simplify right side
    743.20x = 692,270.25
  5. Step 5: Solve for x
    x = 692,270.25/743.20
  6. Step 6: Final answer
    x = 931.47

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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.