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Finding the Fourth Proportional to 1,263.17, 1,889.85 and 850.34

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Solution

The fourth proportional to 1,263.17, 1,889.85 and 850.34 is: 1,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.17 : 1,889.85 = 850.34 : x
  2. Step 2: Convert to fraction form
    1,263.17/1,889.85 = 850.34/x
  3. Step 3: Cross multiply
    1,263.17x = 1,889.85 × 850.34
  4. Step 4: Simplify right side
    1,263.17x = 1,607,015.05
  5. Step 5: Solve for x
    x = 1,607,015.05/1,263.17
  6. Step 6: Final answer
    x = 1,272.21

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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.