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Finding the Fourth Proportional to 547.30, 821.17 and 303.53

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Solution

The fourth proportional to 547.30, 821.17 and 303.53 is: 455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.30 : 821.17 = 303.53 : x
  2. Step 2: Convert to fraction form
    547.30/821.17 = 303.53/x
  3. Step 3: Cross multiply
    547.30x = 821.17 × 303.53
  4. Step 4: Simplify right side
    547.30x = 249,249.73
  5. Step 5: Solve for x
    x = 249,249.73/547.30
  6. Step 6: Final answer
    x = 455.42

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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.