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Finding the Fourth Proportional to 493.67, 743.43 and 357.67

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Solution

The fourth proportional to 493.67, 743.43 and 357.67 is: 538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.67 : 743.43 = 357.67 : x
  2. Step 2: Convert to fraction form
    493.67/743.43 = 357.67/x
  3. Step 3: Cross multiply
    493.67x = 743.43 × 357.67
  4. Step 4: Simplify right side
    493.67x = 265,904.88
  5. Step 5: Solve for x
    x = 265,904.88/493.67
  6. Step 6: Final answer
    x = 538.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.