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Finding the Fourth Proportional to 827.81, 1,242.02 and 341.20

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Solution

The fourth proportional to 827.81, 1,242.02 and 341.20 is: 511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.81 : 1,242.02 = 341.20 : x
  2. Step 2: Convert to fraction form
    827.81/1,242.02 = 341.20/x
  3. Step 3: Cross multiply
    827.81x = 1,242.02 × 341.20
  4. Step 4: Simplify right side
    827.81x = 423,777.22
  5. Step 5: Solve for x
    x = 423,777.22/827.81
  6. Step 6: Final answer
    x = 511.93

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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.