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Finding the Fourth Proportional to 709.74, 979.43 and 399.24

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Solution

The fourth proportional to 709.74, 979.43 and 399.24 is: 550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 979.43 = 399.24 : x
  2. Step 2: Convert to fraction form
    709.74/979.43 = 399.24/x
  3. Step 3: Cross multiply
    709.74x = 979.43 × 399.24
  4. Step 4: Simplify right side
    709.74x = 391,027.63
  5. Step 5: Solve for x
    x = 391,027.63/709.74
  6. Step 6: Final answer
    x = 550.94

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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.