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Finding the Fourth Proportional to 836.62, 1,257.36 and 776.26

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Solution

The fourth proportional to 836.62, 1,257.36 and 776.26 is: 1,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.62 : 1,257.36 = 776.26 : x
  2. Step 2: Convert to fraction form
    836.62/1,257.36 = 776.26/x
  3. Step 3: Cross multiply
    836.62x = 1,257.36 × 776.26
  4. Step 4: Simplify right side
    836.62x = 976,038.27
  5. Step 5: Solve for x
    x = 976,038.27/836.62
  6. Step 6: Final answer
    x = 1,166.64

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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.