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Finding the Fourth Proportional to 547.04, 819.68 and 416.85

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Solution

The fourth proportional to 547.04, 819.68 and 416.85 is: 624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.04 : 819.68 = 416.85 : x
  2. Step 2: Convert to fraction form
    547.04/819.68 = 416.85/x
  3. Step 3: Cross multiply
    547.04x = 819.68 × 416.85
  4. Step 4: Simplify right side
    547.04x = 341,681.52
  5. Step 5: Solve for x
    x = 341,681.52/547.04
  6. Step 6: Final answer
    x = 624.61

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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.