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Finding the Fourth Proportional to 547.99, 820.38 and 287.37

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Solution

The fourth proportional to 547.99, 820.38 and 287.37 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.99 : 820.38 = 287.37 : x
  2. Step 2: Convert to fraction form
    547.99/820.38 = 287.37/x
  3. Step 3: Cross multiply
    547.99x = 820.38 × 287.37
  4. Step 4: Simplify right side
    547.99x = 235,753.68
  5. Step 5: Solve for x
    x = 235,753.68/547.99
  6. Step 6: Final answer
    x = 430.22

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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.