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Finding the Fourth Proportional to 537.60, 743.04 and 450.56

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Solution

The fourth proportional to 537.60, 743.04 and 450.56 is: 622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.60 : 743.04 = 450.56 : x
  2. Step 2: Convert to fraction form
    537.60/743.04 = 450.56/x
  3. Step 3: Cross multiply
    537.60x = 743.04 × 450.56
  4. Step 4: Simplify right side
    537.60x = 334,784.10
  5. Step 5: Solve for x
    x = 334,784.10/537.60
  6. Step 6: Final answer
    x = 622.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.