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Finding the Fourth Proportional to 836.94, 1,155.76 and 538.71

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Solution

The fourth proportional to 836.94, 1,155.76 and 538.71 is: 743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.94 : 1,155.76 = 538.71 : x
  2. Step 2: Convert to fraction form
    836.94/1,155.76 = 538.71/x
  3. Step 3: Cross multiply
    836.94x = 1,155.76 × 538.71
  4. Step 4: Simplify right side
    836.94x = 622,620.83
  5. Step 5: Solve for x
    x = 622,620.83/836.94
  6. Step 6: Final answer
    x = 743.92

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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.