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Finding the Fourth Proportional to 429.92, 589.43 and 422.13

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Solution

The fourth proportional to 429.92, 589.43 and 422.13 is: 578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.92 : 589.43 = 422.13 : x
  2. Step 2: Convert to fraction form
    429.92/589.43 = 422.13/x
  3. Step 3: Cross multiply
    429.92x = 589.43 × 422.13
  4. Step 4: Simplify right side
    429.92x = 248,813.98
  5. Step 5: Solve for x
    x = 248,813.98/429.92
  6. Step 6: Final answer
    x = 578.75

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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.