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Finding the Fourth Proportional to 546.20, 818.36 and 460.10

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Solution

The fourth proportional to 546.20, 818.36 and 460.10 is: 689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.20 : 818.36 = 460.10 : x
  2. Step 2: Convert to fraction form
    546.20/818.36 = 460.10/x
  3. Step 3: Cross multiply
    546.20x = 818.36 × 460.10
  4. Step 4: Simplify right side
    546.20x = 376,527.44
  5. Step 5: Solve for x
    x = 376,527.44/546.20
  6. Step 6: Final answer
    x = 689.36

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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.