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Finding the Fourth Proportional to 1,937.25, 2,905.29 and 766.80

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Solution

The fourth proportional to 1,937.25, 2,905.29 and 766.80 is: 1,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.25 : 2,905.29 = 766.80 : x
  2. Step 2: Convert to fraction form
    1,937.25/2,905.29 = 766.80/x
  3. Step 3: Cross multiply
    1,937.25x = 2,905.29 × 766.80
  4. Step 4: Simplify right side
    1,937.25x = 2,227,776.37
  5. Step 5: Solve for x
    x = 2,227,776.37/1,937.25
  6. Step 6: Final answer
    x = 1,149.97

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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.