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Finding the Fourth Proportional to 836.27, 1,153.49 and 521.59

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Solution

The fourth proportional to 836.27, 1,153.49 and 521.59 is: 719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.27 : 1,153.49 = 521.59 : x
  2. Step 2: Convert to fraction form
    836.27/1,153.49 = 521.59/x
  3. Step 3: Cross multiply
    836.27x = 1,153.49 × 521.59
  4. Step 4: Simplify right side
    836.27x = 601,648.45
  5. Step 5: Solve for x
    x = 601,648.45/836.27
  6. Step 6: Final answer
    x = 719.44

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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.