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Finding the Fourth Proportional to 429.91, 589.42 and 422.13

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Solution

The fourth proportional to 429.91, 589.42 and 422.13 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.91 : 589.42 = 422.13 : x
  2. Step 2: Convert to fraction form
    429.91/589.42 = 422.13/x
  3. Step 3: Cross multiply
    429.91x = 589.42 × 422.13
  4. Step 4: Simplify right side
    429.91x = 248,809.43
  5. Step 5: Solve for x
    x = 248,809.43/429.91
  6. Step 6: Final answer
    x = 578.74

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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.