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Finding the Fourth Proportional to 547.99, 821.07 and 385.33

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Solution

The fourth proportional to 547.99, 821.07 and 385.33 is: 577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.99 : 821.07 = 385.33 : x
  2. Step 2: Convert to fraction form
    547.99/821.07 = 385.33/x
  3. Step 3: Cross multiply
    547.99x = 821.07 × 385.33
  4. Step 4: Simplify right side
    547.99x = 316,383.93
  5. Step 5: Solve for x
    x = 316,383.93/547.99
  6. Step 6: Final answer
    x = 577.36

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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.