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Finding the Fourth Proportional to 493.92, 736.23 and 478.20

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Solution

The fourth proportional to 493.92, 736.23 and 478.20 is: 712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 736.23 = 478.20 : x
  2. Step 2: Convert to fraction form
    493.92/736.23 = 478.20/x
  3. Step 3: Cross multiply
    493.92x = 736.23 × 478.20
  4. Step 4: Simplify right side
    493.92x = 352,065.19
  5. Step 5: Solve for x
    x = 352,065.19/493.92
  6. Step 6: Final answer
    x = 712.80

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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.