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Finding the Fourth Proportional to 496.28, 744.86 and 358.67

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Solution

The fourth proportional to 496.28, 744.86 and 358.67 is: 538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.28 : 744.86 = 358.67 : x
  2. Step 2: Convert to fraction form
    496.28/744.86 = 358.67/x
  3. Step 3: Cross multiply
    496.28x = 744.86 × 358.67
  4. Step 4: Simplify right side
    496.28x = 267,161.70
  5. Step 5: Solve for x
    x = 267,161.70/496.28
  6. Step 6: Final answer
    x = 538.33

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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.