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Finding the Fourth Proportional to 548.95, 827.12 and 453.58

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Solution

The fourth proportional to 548.95, 827.12 and 453.58 is: 683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.95 : 827.12 = 453.58 : x
  2. Step 2: Convert to fraction form
    548.95/827.12 = 453.58/x
  3. Step 3: Cross multiply
    548.95x = 827.12 × 453.58
  4. Step 4: Simplify right side
    548.95x = 375,167.26
  5. Step 5: Solve for x
    x = 375,167.26/548.95
  6. Step 6: Final answer
    x = 683.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.