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Finding the Fourth Proportional to 838.22, 1,257.87 and 775.46

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Solution

The fourth proportional to 838.22, 1,257.87 and 775.46 is: 1,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.22 : 1,257.87 = 775.46 : x
  2. Step 2: Convert to fraction form
    838.22/1,257.87 = 775.46/x
  3. Step 3: Cross multiply
    838.22x = 1,257.87 × 775.46
  4. Step 4: Simplify right side
    838.22x = 975,427.87
  5. Step 5: Solve for x
    x = 975,427.87/838.22
  6. Step 6: Final answer
    x = 1,163.69

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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.