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Finding the Fourth Proportional to 836.82, 1,155.29 and 557.44

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Solution

The fourth proportional to 836.82, 1,155.29 and 557.44 is: 769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,155.29 = 557.44 : x
  2. Step 2: Convert to fraction form
    836.82/1,155.29 = 557.44/x
  3. Step 3: Cross multiply
    836.82x = 1,155.29 × 557.44
  4. Step 4: Simplify right side
    836.82x = 644,004.86
  5. Step 5: Solve for x
    x = 644,004.86/836.82
  6. Step 6: Final answer
    x = 769.59

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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.