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Finding the Fourth Proportional to 547.80, 821.70 and 499.20

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Solution

The fourth proportional to 547.80, 821.70 and 499.20 is: 748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.80 : 821.70 = 499.20 : x
  2. Step 2: Convert to fraction form
    547.80/821.70 = 499.20/x
  3. Step 3: Cross multiply
    547.80x = 821.70 × 499.20
  4. Step 4: Simplify right side
    547.80x = 410,192.64
  5. Step 5: Solve for x
    x = 410,192.64/547.80
  6. Step 6: Final answer
    x = 748.80

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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.