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Finding the Fourth Proportional to 548.96, 819.68 and 467.76

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Solution

The fourth proportional to 548.96, 819.68 and 467.76 is: 698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.96 : 819.68 = 467.76 : x
  2. Step 2: Convert to fraction form
    548.96/819.68 = 467.76/x
  3. Step 3: Cross multiply
    548.96x = 819.68 × 467.76
  4. Step 4: Simplify right side
    548.96x = 383,413.52
  5. Step 5: Solve for x
    x = 383,413.52/548.96
  6. Step 6: Final answer
    x = 698.44

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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.