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Finding the Fourth Proportional to 548.70, 821.50 and 365.74

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Solution

The fourth proportional to 548.70, 821.50 and 365.74 is: 547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 821.50 = 365.74 : x
  2. Step 2: Convert to fraction form
    548.70/821.50 = 365.74/x
  3. Step 3: Cross multiply
    548.70x = 821.50 × 365.74
  4. Step 4: Simplify right side
    548.70x = 300,455.41
  5. Step 5: Solve for x
    x = 300,455.41/548.70
  6. Step 6: Final answer
    x = 547.58

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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.