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Finding the Fourth Proportional to 585.39, 806.73 and 419.32

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Solution

The fourth proportional to 585.39, 806.73 and 419.32 is: 577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.39 : 806.73 = 419.32 : x
  2. Step 2: Convert to fraction form
    585.39/806.73 = 419.32/x
  3. Step 3: Cross multiply
    585.39x = 806.73 × 419.32
  4. Step 4: Simplify right side
    585.39x = 338,277.55
  5. Step 5: Solve for x
    x = 338,277.55/585.39
  6. Step 6: Final answer
    x = 577.86

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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.