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Finding the Fourth Proportional to 547.32, 822.26 and 517.83

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Solution

The fourth proportional to 547.32, 822.26 and 517.83 is: 777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.32 : 822.26 = 517.83 : x
  2. Step 2: Convert to fraction form
    547.32/822.26 = 517.83/x
  3. Step 3: Cross multiply
    547.32x = 822.26 × 517.83
  4. Step 4: Simplify right side
    547.32x = 425,788.31
  5. Step 5: Solve for x
    x = 425,788.31/547.32
  6. Step 6: Final answer
    x = 777.95

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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.