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Finding the Fourth Proportional to 709.72, 979.48 and 395.05

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Solution

The fourth proportional to 709.72, 979.48 and 395.05 is: 545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.72 : 979.48 = 395.05 : x
  2. Step 2: Convert to fraction form
    709.72/979.48 = 395.05/x
  3. Step 3: Cross multiply
    709.72x = 979.48 × 395.05
  4. Step 4: Simplify right side
    709.72x = 386,940.14
  5. Step 5: Solve for x
    x = 386,940.14/709.72
  6. Step 6: Final answer
    x = 545.20

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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.