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Finding the Fourth Proportional to 438.08, 605.30 and 422.51

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Solution

The fourth proportional to 438.08, 605.30 and 422.51 is: 583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.08 : 605.30 = 422.51 : x
  2. Step 2: Convert to fraction form
    438.08/605.30 = 422.51/x
  3. Step 3: Cross multiply
    438.08x = 605.30 × 422.51
  4. Step 4: Simplify right side
    438.08x = 255,745.30
  5. Step 5: Solve for x
    x = 255,745.30/438.08
  6. Step 6: Final answer
    x = 583.79

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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.