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Finding the Fourth Proportional to 496.68, 743.19 and 374.64

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Solution

The fourth proportional to 496.68, 743.19 and 374.64 is: 560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.68 : 743.19 = 374.64 : x
  2. Step 2: Convert to fraction form
    496.68/743.19 = 374.64/x
  3. Step 3: Cross multiply
    496.68x = 743.19 × 374.64
  4. Step 4: Simplify right side
    496.68x = 278,428.70
  5. Step 5: Solve for x
    x = 278,428.70/496.68
  6. Step 6: Final answer
    x = 560.58

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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.