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Finding the Fourth Proportional to 445.88, 614.78 and 376.20

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Solution

The fourth proportional to 445.88, 614.78 and 376.20 is: 518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.88 : 614.78 = 376.20 : x
  2. Step 2: Convert to fraction form
    445.88/614.78 = 376.20/x
  3. Step 3: Cross multiply
    445.88x = 614.78 × 376.20
  4. Step 4: Simplify right side
    445.88x = 231,280.24
  5. Step 5: Solve for x
    x = 231,280.24/445.88
  6. Step 6: Final answer
    x = 518.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.