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Finding the Fourth Proportional to 837.11, 1,152.63 and 743.69

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Solution

The fourth proportional to 837.11, 1,152.63 and 743.69 is: 1,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.11 : 1,152.63 = 743.69 : x
  2. Step 2: Convert to fraction form
    837.11/1,152.63 = 743.69/x
  3. Step 3: Cross multiply
    837.11x = 1,152.63 × 743.69
  4. Step 4: Simplify right side
    837.11x = 857,189.92
  5. Step 5: Solve for x
    x = 857,189.92/837.11
  6. Step 6: Final answer
    x = 1,023.99

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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.