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Finding the Fourth Proportional to 493.72, 736.96 and 429.18

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Solution

The fourth proportional to 493.72, 736.96 and 429.18 is: 640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.72 : 736.96 = 429.18 : x
  2. Step 2: Convert to fraction form
    493.72/736.96 = 429.18/x
  3. Step 3: Cross multiply
    493.72x = 736.96 × 429.18
  4. Step 4: Simplify right side
    493.72x = 316,288.49
  5. Step 5: Solve for x
    x = 316,288.49/493.72
  6. Step 6: Final answer
    x = 640.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.