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Finding the Fourth Proportional to 548.79, 819.57 and 488.31

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Solution

The fourth proportional to 548.79, 819.57 and 488.31 is: 729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.79 : 819.57 = 488.31 : x
  2. Step 2: Convert to fraction form
    548.79/819.57 = 488.31/x
  3. Step 3: Cross multiply
    548.79x = 819.57 × 488.31
  4. Step 4: Simplify right side
    548.79x = 400,204.23
  5. Step 5: Solve for x
    x = 400,204.23/548.79
  6. Step 6: Final answer
    x = 729.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.