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Finding the Fourth Proportional to 414.58, 572.36 and 309.79

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Solution

The fourth proportional to 414.58, 572.36 and 309.79 is: 427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.58 : 572.36 = 309.79 : x
  2. Step 2: Convert to fraction form
    414.58/572.36 = 309.79/x
  3. Step 3: Cross multiply
    414.58x = 572.36 × 309.79
  4. Step 4: Simplify right side
    414.58x = 177,311.40
  5. Step 5: Solve for x
    x = 177,311.40/414.58
  6. Step 6: Final answer
    x = 427.69

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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.