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Finding the Fourth Proportional to 547.77, 822.47 and 521.34

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Solution

The fourth proportional to 547.77, 822.47 and 521.34 is: 782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.77 : 822.47 = 521.34 : x
  2. Step 2: Convert to fraction form
    547.77/822.47 = 521.34/x
  3. Step 3: Cross multiply
    547.77x = 822.47 × 521.34
  4. Step 4: Simplify right side
    547.77x = 428,783.90
  5. Step 5: Solve for x
    x = 428,783.90/547.77
  6. Step 6: Final answer
    x = 782.78

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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.