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Finding the Fourth Proportional to 552.88, 827.19 and 548.93

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Solution

The fourth proportional to 552.88, 827.19 and 548.93 is: 821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.88 : 827.19 = 548.93 : x
  2. Step 2: Convert to fraction form
    552.88/827.19 = 548.93/x
  3. Step 3: Cross multiply
    552.88x = 827.19 × 548.93
  4. Step 4: Simplify right side
    552.88x = 454,062.53
  5. Step 5: Solve for x
    x = 454,062.53/552.88
  6. Step 6: Final answer
    x = 821.28

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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.