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Finding the Fourth Proportional to 493.65, 736.00 and 480.83

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Solution

The fourth proportional to 493.65, 736.00 and 480.83 is: 716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.65 : 736.00 = 480.83 : x
  2. Step 2: Convert to fraction form
    493.65/736.00 = 480.83/x
  3. Step 3: Cross multiply
    493.65x = 736.00 × 480.83
  4. Step 4: Simplify right side
    493.65x = 353,886.00
  5. Step 5: Solve for x
    x = 353,886.00/493.65
  6. Step 6: Final answer
    x = 716.88

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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.