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Finding the Fourth Proportional to 547.56, 819.99 and 384.48

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Solution

The fourth proportional to 547.56, 819.99 and 384.48 is: 575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.56 : 819.99 = 384.48 : x
  2. Step 2: Convert to fraction form
    547.56/819.99 = 384.48/x
  3. Step 3: Cross multiply
    547.56x = 819.99 × 384.48
  4. Step 4: Simplify right side
    547.56x = 315,269.76
  5. Step 5: Solve for x
    x = 315,269.76/547.56
  6. Step 6: Final answer
    x = 575.77

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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.