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Finding the Fourth Proportional to 548.89, 822.65 and 432.88

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Solution

The fourth proportional to 548.89, 822.65 and 432.88 is: 648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.89 : 822.65 = 432.88 : x
  2. Step 2: Convert to fraction form
    548.89/822.65 = 432.88/x
  3. Step 3: Cross multiply
    548.89x = 822.65 × 432.88
  4. Step 4: Simplify right side
    548.89x = 356,104.51
  5. Step 5: Solve for x
    x = 356,104.51/548.89
  6. Step 6: Final answer
    x = 648.78

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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.