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Finding the Fourth Proportional to 709.86, 979.74 and 447.69

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Solution

The fourth proportional to 709.86, 979.74 and 447.69 is: 617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.86 : 979.74 = 447.69 : x
  2. Step 2: Convert to fraction form
    709.86/979.74 = 447.69/x
  3. Step 3: Cross multiply
    709.86x = 979.74 × 447.69
  4. Step 4: Simplify right side
    709.86x = 438,619.80
  5. Step 5: Solve for x
    x = 438,619.80/709.86
  6. Step 6: Final answer
    x = 617.90

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.