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Finding the Fourth Proportional to 546.71, 818.54 and 299.01

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Solution

The fourth proportional to 546.71, 818.54 and 299.01 is: 447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.71 : 818.54 = 299.01 : x
  2. Step 2: Convert to fraction form
    546.71/818.54 = 299.01/x
  3. Step 3: Cross multiply
    546.71x = 818.54 × 299.01
  4. Step 4: Simplify right side
    546.71x = 244,750.15
  5. Step 5: Solve for x
    x = 244,750.15/546.71
  6. Step 6: Final answer
    x = 447.68

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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.