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Finding the Fourth Proportional to 548.42, 819.01 and 487.94

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Solution

The fourth proportional to 548.42, 819.01 and 487.94 is: 728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.42 : 819.01 = 487.94 : x
  2. Step 2: Convert to fraction form
    548.42/819.01 = 487.94/x
  3. Step 3: Cross multiply
    548.42x = 819.01 × 487.94
  4. Step 4: Simplify right side
    548.42x = 399,627.74
  5. Step 5: Solve for x
    x = 399,627.74/548.42
  6. Step 6: Final answer
    x = 728.69

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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.