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Finding the Fourth Proportional to 836.91, 1,154.96 and 505.27

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Solution

The fourth proportional to 836.91, 1,154.96 and 505.27 is: 697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.91 : 1,154.96 = 505.27 : x
  2. Step 2: Convert to fraction form
    836.91/1,154.96 = 505.27/x
  3. Step 3: Cross multiply
    836.91x = 1,154.96 × 505.27
  4. Step 4: Simplify right side
    836.91x = 583,563.75
  5. Step 5: Solve for x
    x = 583,563.75/836.91
  6. Step 6: Final answer
    x = 697.29

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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.