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Finding the Fourth Proportional to 546.24, 816.93 and 407.73

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Solution

The fourth proportional to 546.24, 816.93 and 407.73 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 816.93 = 407.73 : x
  2. Step 2: Convert to fraction form
    546.24/816.93 = 407.73/x
  3. Step 3: Cross multiply
    546.24x = 816.93 × 407.73
  4. Step 4: Simplify right side
    546.24x = 333,086.87
  5. Step 5: Solve for x
    x = 333,086.87/546.24
  6. Step 6: Final answer
    x = 609.78

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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.