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Finding the Fourth Proportional to 547.04, 820.68 and 404.48

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Solution

The fourth proportional to 547.04, 820.68 and 404.48 is: 606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.04 : 820.68 = 404.48 : x
  2. Step 2: Convert to fraction form
    547.04/820.68 = 404.48/x
  3. Step 3: Cross multiply
    547.04x = 820.68 × 404.48
  4. Step 4: Simplify right side
    547.04x = 331,948.65
  5. Step 5: Solve for x
    x = 331,948.65/547.04
  6. Step 6: Final answer
    x = 606.81

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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.