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Finding the Fourth Proportional to 547.74, 819.54 and 304.44

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Solution

The fourth proportional to 547.74, 819.54 and 304.44 is: 455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 819.54 = 304.44 : x
  2. Step 2: Convert to fraction form
    547.74/819.54 = 304.44/x
  3. Step 3: Cross multiply
    547.74x = 819.54 × 304.44
  4. Step 4: Simplify right side
    547.74x = 249,500.76
  5. Step 5: Solve for x
    x = 249,500.76/547.74
  6. Step 6: Final answer
    x = 455.51

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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.