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Finding the Fourth Proportional to 414.79, 571.64 and 309.69

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Solution

The fourth proportional to 414.79, 571.64 and 309.69 is: 426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.79 : 571.64 = 309.69 : x
  2. Step 2: Convert to fraction form
    414.79/571.64 = 309.69/x
  3. Step 3: Cross multiply
    414.79x = 571.64 × 309.69
  4. Step 4: Simplify right side
    414.79x = 177,031.30
  5. Step 5: Solve for x
    x = 177,031.30/414.79
  6. Step 6: Final answer
    x = 426.80

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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.