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Finding the Fourth Proportional to 836.91, 1,153.65 and 626.78

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Solution

The fourth proportional to 836.91, 1,153.65 and 626.78 is: 863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.91 : 1,153.65 = 626.78 : x
  2. Step 2: Convert to fraction form
    836.91/1,153.65 = 626.78/x
  3. Step 3: Cross multiply
    836.91x = 1,153.65 × 626.78
  4. Step 4: Simplify right side
    836.91x = 723,078.98
  5. Step 5: Solve for x
    x = 723,078.98/836.91
  6. Step 6: Final answer
    x = 863.99

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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.