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Finding the Fourth Proportional to 414.77, 619.34 and 376.43

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Solution

The fourth proportional to 414.77, 619.34 and 376.43 is: 562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.77 : 619.34 = 376.43 : x
  2. Step 2: Convert to fraction form
    414.77/619.34 = 376.43/x
  3. Step 3: Cross multiply
    414.77x = 619.34 × 376.43
  4. Step 4: Simplify right side
    414.77x = 233,133.18
  5. Step 5: Solve for x
    x = 233,133.18/414.77
  6. Step 6: Final answer
    x = 562.08

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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.