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Finding the Fourth Proportional to 547.72, 822.36 and 521.28

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Solution

The fourth proportional to 547.72, 822.36 and 521.28 is: 782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.72 : 822.36 = 521.28 : x
  2. Step 2: Convert to fraction form
    547.72/822.36 = 521.28/x
  3. Step 3: Cross multiply
    547.72x = 822.36 × 521.28
  4. Step 4: Simplify right side
    547.72x = 428,679.82
  5. Step 5: Solve for x
    x = 428,679.82/547.72
  6. Step 6: Final answer
    x = 782.66

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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.