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Finding the Fourth Proportional to 585.27, 806.99 and 419.42

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Solution

The fourth proportional to 585.27, 806.99 and 419.42 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.27 : 806.99 = 419.42 : x
  2. Step 2: Convert to fraction form
    585.27/806.99 = 419.42/x
  3. Step 3: Cross multiply
    585.27x = 806.99 × 419.42
  4. Step 4: Simplify right side
    585.27x = 338,467.75
  5. Step 5: Solve for x
    x = 338,467.75/585.27
  6. Step 6: Final answer
    x = 578.31

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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.