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Finding the Fourth Proportional to 547.70, 819.93 and 542.03

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Solution

The fourth proportional to 547.70, 819.93 and 542.03 is: 811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 819.93 = 542.03 : x
  2. Step 2: Convert to fraction form
    547.70/819.93 = 542.03/x
  3. Step 3: Cross multiply
    547.70x = 819.93 × 542.03
  4. Step 4: Simplify right side
    547.70x = 444,426.66
  5. Step 5: Solve for x
    x = 444,426.66/547.70
  6. Step 6: Final answer
    x = 811.44

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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.