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Finding the Fourth Proportional to 836.20, 1,252.91 and 591.51

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Solution

The fourth proportional to 836.20, 1,252.91 and 591.51 is: 886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.20 : 1,252.91 = 591.51 : x
  2. Step 2: Convert to fraction form
    836.20/1,252.91 = 591.51/x
  3. Step 3: Cross multiply
    836.20x = 1,252.91 × 591.51
  4. Step 4: Simplify right side
    836.20x = 741,108.79
  5. Step 5: Solve for x
    x = 741,108.79/836.20
  6. Step 6: Final answer
    x = 886.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.