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Finding the Fourth Proportional to 827.63, 1,241.64 and 250.50

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Solution

The fourth proportional to 827.63, 1,241.64 and 250.50 is: 375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,241.64 = 250.50 : x
  2. Step 2: Convert to fraction form
    827.63/1,241.64 = 250.50/x
  3. Step 3: Cross multiply
    827.63x = 1,241.64 × 250.50
  4. Step 4: Simplify right side
    827.63x = 311,030.82
  5. Step 5: Solve for x
    x = 311,030.82/827.63
  6. Step 6: Final answer
    x = 375.81

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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.