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Finding the Fourth Proportional to 418.51, 581.62 and 414.19

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Solution

The fourth proportional to 418.51, 581.62 and 414.19 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.51 : 581.62 = 414.19 : x
  2. Step 2: Convert to fraction form
    418.51/581.62 = 414.19/x
  3. Step 3: Cross multiply
    418.51x = 581.62 × 414.19
  4. Step 4: Simplify right side
    418.51x = 240,901.19
  5. Step 5: Solve for x
    x = 240,901.19/418.51
  6. Step 6: Final answer
    x = 575.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.