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Finding the Fourth Proportional to 548.55, 821.74 and 355.77

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Solution

The fourth proportional to 548.55, 821.74 and 355.77 is: 532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.55 : 821.74 = 355.77 : x
  2. Step 2: Convert to fraction form
    548.55/821.74 = 355.77/x
  3. Step 3: Cross multiply
    548.55x = 821.74 × 355.77
  4. Step 4: Simplify right side
    548.55x = 292,350.44
  5. Step 5: Solve for x
    x = 292,350.44/548.55
  6. Step 6: Final answer
    x = 532.95

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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.