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Finding the Fourth Proportional to 827.51, 1,241.00 and 340.43

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Solution

The fourth proportional to 827.51, 1,241.00 and 340.43 is: 510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.51 : 1,241.00 = 340.43 : x
  2. Step 2: Convert to fraction form
    827.51/1,241.00 = 340.43/x
  3. Step 3: Cross multiply
    827.51x = 1,241.00 × 340.43
  4. Step 4: Simplify right side
    827.51x = 422,471.93
  5. Step 5: Solve for x
    x = 422,471.93/827.51
  6. Step 6: Final answer
    x = 510.53

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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.