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Finding the Fourth Proportional to 547.17, 819.68 and 455.58

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Solution

The fourth proportional to 547.17, 819.68 and 455.58 is: 682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.17 : 819.68 = 455.58 : x
  2. Step 2: Convert to fraction form
    547.17/819.68 = 455.58/x
  3. Step 3: Cross multiply
    547.17x = 819.68 × 455.58
  4. Step 4: Simplify right side
    547.17x = 373,427.54
  5. Step 5: Solve for x
    x = 373,427.54/547.17
  6. Step 6: Final answer
    x = 682.47

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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.