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Finding the Fourth Proportional to 619.14, 854.61 and 409.45

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Solution

The fourth proportional to 619.14, 854.61 and 409.45 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.14 : 854.61 = 409.45 : x
  2. Step 2: Convert to fraction form
    619.14/854.61 = 409.45/x
  3. Step 3: Cross multiply
    619.14x = 854.61 × 409.45
  4. Step 4: Simplify right side
    619.14x = 349,919.15
  5. Step 5: Solve for x
    x = 349,919.15/619.14
  6. Step 6: Final answer
    x = 565.17

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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.