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Finding the Fourth Proportional to 827.96, 1,140.78 and 551.48

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Solution

The fourth proportional to 827.96, 1,140.78 and 551.48 is: 759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.96 : 1,140.78 = 551.48 : x
  2. Step 2: Convert to fraction form
    827.96/1,140.78 = 551.48/x
  3. Step 3: Cross multiply
    827.96x = 1,140.78 × 551.48
  4. Step 4: Simplify right side
    827.96x = 629,117.35
  5. Step 5: Solve for x
    x = 629,117.35/827.96
  6. Step 6: Final answer
    x = 759.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.