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Finding the Fourth Proportional to 585.47, 806.19 and 419.39

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Solution

The fourth proportional to 585.47, 806.19 and 419.39 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.47 : 806.19 = 419.39 : x
  2. Step 2: Convert to fraction form
    585.47/806.19 = 419.39/x
  3. Step 3: Cross multiply
    585.47x = 806.19 × 419.39
  4. Step 4: Simplify right side
    585.47x = 338,103.99
  5. Step 5: Solve for x
    x = 338,103.99/585.47
  6. Step 6: Final answer
    x = 577.50

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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.