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Finding the Fourth Proportional to 548.32, 819.45 and 491.22

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Solution

The fourth proportional to 548.32, 819.45 and 491.22 is: 734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.32 : 819.45 = 491.22 : x
  2. Step 2: Convert to fraction form
    548.32/819.45 = 491.22/x
  3. Step 3: Cross multiply
    548.32x = 819.45 × 491.22
  4. Step 4: Simplify right side
    548.32x = 402,524.90
  5. Step 5: Solve for x
    x = 402,524.90/548.32
  6. Step 6: Final answer
    x = 734.11

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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.