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Finding the Fourth Proportional to 709.22, 979.05 and 414.38

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Solution

The fourth proportional to 709.22, 979.05 and 414.38 is: 572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.22 : 979.05 = 414.38 : x
  2. Step 2: Convert to fraction form
    709.22/979.05 = 414.38/x
  3. Step 3: Cross multiply
    709.22x = 979.05 × 414.38
  4. Step 4: Simplify right side
    709.22x = 405,698.74
  5. Step 5: Solve for x
    x = 405,698.74/709.22
  6. Step 6: Final answer
    x = 572.04

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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.