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Finding the Fourth Proportional to 414.70, 579.50 and 414.70

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Solution

The fourth proportional to 414.70, 579.50 and 414.70 is: 579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.70 : 579.50 = 414.70 : x
  2. Step 2: Convert to fraction form
    414.70/579.50 = 414.70/x
  3. Step 3: Cross multiply
    414.70x = 579.50 × 414.70
  4. Step 4: Simplify right side
    414.70x = 240,318.65
  5. Step 5: Solve for x
    x = 240,318.65/414.70
  6. Step 6: Final answer
    x = 579.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.