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Finding the Fourth Proportional to 550.58, 820.14 and 521.37

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Solution

The fourth proportional to 550.58, 820.14 and 521.37 is: 776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.58 : 820.14 = 521.37 : x
  2. Step 2: Convert to fraction form
    550.58/820.14 = 521.37/x
  3. Step 3: Cross multiply
    550.58x = 820.14 × 521.37
  4. Step 4: Simplify right side
    550.58x = 427,589.68
  5. Step 5: Solve for x
    x = 427,589.68/550.58
  6. Step 6: Final answer
    x = 776.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.