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Finding the Fourth Proportional to 547.83, 819.32 and 416.34

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Solution

The fourth proportional to 547.83, 819.32 and 416.34 is: 622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.83 : 819.32 = 416.34 : x
  2. Step 2: Convert to fraction form
    547.83/819.32 = 416.34/x
  3. Step 3: Cross multiply
    547.83x = 819.32 × 416.34
  4. Step 4: Simplify right side
    547.83x = 341,113.61
  5. Step 5: Solve for x
    x = 341,113.61/547.83
  6. Step 6: Final answer
    x = 622.66

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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.