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Finding the Fourth Proportional to 1,331.94, 1,838.49 and 772.56

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Solution

The fourth proportional to 1,331.94, 1,838.49 and 772.56 is: 1,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.94 : 1,838.49 = 772.56 : x
  2. Step 2: Convert to fraction form
    1,331.94/1,838.49 = 772.56/x
  3. Step 3: Cross multiply
    1,331.94x = 1,838.49 × 772.56
  4. Step 4: Simplify right side
    1,331.94x = 1,420,343.83
  5. Step 5: Solve for x
    x = 1,420,343.83/1,331.94
  6. Step 6: Final answer
    x = 1,066.37

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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.