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Finding the Fourth Proportional to 548.60, 823.82 and 458.02

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Solution

The fourth proportional to 548.60, 823.82 and 458.02 is: 687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.60 : 823.82 = 458.02 : x
  2. Step 2: Convert to fraction form
    548.60/823.82 = 458.02/x
  3. Step 3: Cross multiply
    548.60x = 823.82 × 458.02
  4. Step 4: Simplify right side
    548.60x = 377,326.04
  5. Step 5: Solve for x
    x = 377,326.04/548.60
  6. Step 6: Final answer
    x = 687.80

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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.