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Finding the Fourth Proportional to 426.92, 585.31 and 419.14

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Solution

The fourth proportional to 426.92, 585.31 and 419.14 is: 574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.92 : 585.31 = 419.14 : x
  2. Step 2: Convert to fraction form
    426.92/585.31 = 419.14/x
  3. Step 3: Cross multiply
    426.92x = 585.31 × 419.14
  4. Step 4: Simplify right side
    426.92x = 245,325.28
  5. Step 5: Solve for x
    x = 245,325.28/426.92
  6. Step 6: Final answer
    x = 574.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.