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Finding the Fourth Proportional to 546.45, 818.36 and 480.78

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Solution

The fourth proportional to 546.45, 818.36 and 480.78 is: 720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.45 : 818.36 = 480.78 : x
  2. Step 2: Convert to fraction form
    546.45/818.36 = 480.78/x
  3. Step 3: Cross multiply
    546.45x = 818.36 × 480.78
  4. Step 4: Simplify right side
    546.45x = 393,451.12
  5. Step 5: Solve for x
    x = 393,451.12/546.45
  6. Step 6: Final answer
    x = 720.02

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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.