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Finding the Fourth Proportional to 838.37, 1,249.65 and 776.07

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Solution

The fourth proportional to 838.37, 1,249.65 and 776.07 is: 1,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.37 : 1,249.65 = 776.07 : x
  2. Step 2: Convert to fraction form
    838.37/1,249.65 = 776.07/x
  3. Step 3: Cross multiply
    838.37x = 1,249.65 × 776.07
  4. Step 4: Simplify right side
    838.37x = 969,815.88
  5. Step 5: Solve for x
    x = 969,815.88/838.37
  6. Step 6: Final answer
    x = 1,156.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.