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Finding the Fourth Proportional to 552.74, 827.42 and 387.77

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Solution

The fourth proportional to 552.74, 827.42 and 387.77 is: 580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.74 : 827.42 = 387.77 : x
  2. Step 2: Convert to fraction form
    552.74/827.42 = 387.77/x
  3. Step 3: Cross multiply
    552.74x = 827.42 × 387.77
  4. Step 4: Simplify right side
    552.74x = 320,842.58
  5. Step 5: Solve for x
    x = 320,842.58/552.74
  6. Step 6: Final answer
    x = 580.46

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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.