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Finding the Fourth Proportional to 445.78, 664.77 and 380.04

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Solution

The fourth proportional to 445.78, 664.77 and 380.04 is: 566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.78 : 664.77 = 380.04 : x
  2. Step 2: Convert to fraction form
    445.78/664.77 = 380.04/x
  3. Step 3: Cross multiply
    445.78x = 664.77 × 380.04
  4. Step 4: Simplify right side
    445.78x = 252,639.19
  5. Step 5: Solve for x
    x = 252,639.19/445.78
  6. Step 6: Final answer
    x = 566.74

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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.