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Finding the Fourth Proportional to 419.11, 578.54 and 408.07

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Solution

The fourth proportional to 419.11, 578.54 and 408.07 is: 563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.11 : 578.54 = 408.07 : x
  2. Step 2: Convert to fraction form
    419.11/578.54 = 408.07/x
  3. Step 3: Cross multiply
    419.11x = 578.54 × 408.07
  4. Step 4: Simplify right side
    419.11x = 236,084.82
  5. Step 5: Solve for x
    x = 236,084.82/419.11
  6. Step 6: Final answer
    x = 563.30

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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.