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Finding the Fourth Proportional to 550.58, 820.34 and 519.14

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Solution

The fourth proportional to 550.58, 820.34 and 519.14 is: 773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.58 : 820.34 = 519.14 : x
  2. Step 2: Convert to fraction form
    550.58/820.34 = 519.14/x
  3. Step 3: Cross multiply
    550.58x = 820.34 × 519.14
  4. Step 4: Simplify right side
    550.58x = 425,864.61
  5. Step 5: Solve for x
    x = 425,864.61/550.58
  6. Step 6: Final answer
    x = 773.49

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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.