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Finding the Fourth Proportional to 445.46, 666 and 377.74

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Solution

The fourth proportional to 445.46, 666 and 377.74 is: 564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.46 : 666 = 377.74 : x
  2. Step 2: Convert to fraction form
    445.46/666 = 377.74/x
  3. Step 3: Cross multiply
    445.46x = 666 × 377.74
  4. Step 4: Simplify right side
    445.46x = 251,574.84
  5. Step 5: Solve for x
    x = 251,574.84/445.46
  6. Step 6: Final answer
    x = 564.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.