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Finding the Fourth Proportional to 547.68, 822.10 and 304.14

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Solution

The fourth proportional to 547.68, 822.10 and 304.14 is: 456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.68 : 822.10 = 304.14 : x
  2. Step 2: Convert to fraction form
    547.68/822.10 = 304.14/x
  3. Step 3: Cross multiply
    547.68x = 822.10 × 304.14
  4. Step 4: Simplify right side
    547.68x = 250,028.62
  5. Step 5: Solve for x
    x = 250,028.62/547.68
  6. Step 6: Final answer
    x = 456.53

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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.