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Finding the Fourth Proportional to 827.14, 1,240.80 and 340.42

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Solution

The fourth proportional to 827.14, 1,240.80 and 340.42 is: 510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.14 : 1,240.80 = 340.42 : x
  2. Step 2: Convert to fraction form
    827.14/1,240.80 = 340.42/x
  3. Step 3: Cross multiply
    827.14x = 1,240.80 × 340.42
  4. Step 4: Simplify right side
    827.14x = 422,393.14
  5. Step 5: Solve for x
    x = 422,393.14/827.14
  6. Step 6: Final answer
    x = 510.67

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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.