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Finding the Fourth Proportional to 427.21, 585.73 and 426.54

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Solution

The fourth proportional to 427.21, 585.73 and 426.54 is: 584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.21 : 585.73 = 426.54 : x
  2. Step 2: Convert to fraction form
    427.21/585.73 = 426.54/x
  3. Step 3: Cross multiply
    427.21x = 585.73 × 426.54
  4. Step 4: Simplify right side
    427.21x = 249,837.27
  5. Step 5: Solve for x
    x = 249,837.27/427.21
  6. Step 6: Final answer
    x = 584.81

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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.