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Finding the Fourth Proportional to 441.51, 612.07 and 418.10

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Solution

The fourth proportional to 441.51, 612.07 and 418.10 is: 579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.51 : 612.07 = 418.10 : x
  2. Step 2: Convert to fraction form
    441.51/612.07 = 418.10/x
  3. Step 3: Cross multiply
    441.51x = 612.07 × 418.10
  4. Step 4: Simplify right side
    441.51x = 255,906.47
  5. Step 5: Solve for x
    x = 255,906.47/441.51
  6. Step 6: Final answer
    x = 579.62

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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.