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Finding the Fourth Proportional to 446.57, 666.62 and 414.52

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Solution

The fourth proportional to 446.57, 666.62 and 414.52 is: 618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.57 : 666.62 = 414.52 : x
  2. Step 2: Convert to fraction form
    446.57/666.62 = 414.52/x
  3. Step 3: Cross multiply
    446.57x = 666.62 × 414.52
  4. Step 4: Simplify right side
    446.57x = 276,327.32
  5. Step 5: Solve for x
    x = 276,327.32/446.57
  6. Step 6: Final answer
    x = 618.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.