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Finding the Fourth Proportional to 827.79, 1,240.16 and 519.45

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Solution

The fourth proportional to 827.79, 1,240.16 and 519.45 is: 778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.79 : 1,240.16 = 519.45 : x
  2. Step 2: Convert to fraction form
    827.79/1,240.16 = 519.45/x
  3. Step 3: Cross multiply
    827.79x = 1,240.16 × 519.45
  4. Step 4: Simplify right side
    827.79x = 644,198.51
  5. Step 5: Solve for x
    x = 644,198.51/827.79
  6. Step 6: Final answer
    x = 778.21

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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.