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Finding the Fourth Proportional to 827.10, 1,240.18 and 339.75

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Solution

The fourth proportional to 827.10, 1,240.18 and 339.75 is: 509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.10 : 1,240.18 = 339.75 : x
  2. Step 2: Convert to fraction form
    827.10/1,240.18 = 339.75/x
  3. Step 3: Cross multiply
    827.10x = 1,240.18 × 339.75
  4. Step 4: Simplify right side
    827.10x = 421,350.31
  5. Step 5: Solve for x
    x = 421,350.31/827.10
  6. Step 6: Final answer
    x = 509.43

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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.