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Finding the Fourth Proportional to 548.88, 823.78 and 434.52

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Solution

The fourth proportional to 548.88, 823.78 and 434.52 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 823.78 = 434.52 : x
  2. Step 2: Convert to fraction form
    548.88/823.78 = 434.52/x
  3. Step 3: Cross multiply
    548.88x = 823.78 × 434.52
  4. Step 4: Simplify right side
    548.88x = 357,949.43
  5. Step 5: Solve for x
    x = 357,949.43/548.88
  6. Step 6: Final answer
    x = 652.14

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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.