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Finding the Fourth Proportional to 936.70, 1,293.20 and 832.90

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Solution

The fourth proportional to 936.70, 1,293.20 and 832.90 is: 1,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.70 : 1,293.20 = 832.90 : x
  2. Step 2: Convert to fraction form
    936.70/1,293.20 = 832.90/x
  3. Step 3: Cross multiply
    936.70x = 1,293.20 × 832.90
  4. Step 4: Simplify right side
    936.70x = 1,077,106.28
  5. Step 5: Solve for x
    x = 1,077,106.28/936.70
  6. Step 6: Final answer
    x = 1,149.89

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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.