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Finding the Fourth Proportional to 429.28, 591.22 and 399.04

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Solution

The fourth proportional to 429.28, 591.22 and 399.04 is: 549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.28 : 591.22 = 399.04 : x
  2. Step 2: Convert to fraction form
    429.28/591.22 = 399.04/x
  3. Step 3: Cross multiply
    429.28x = 591.22 × 399.04
  4. Step 4: Simplify right side
    429.28x = 235,920.43
  5. Step 5: Solve for x
    x = 235,920.43/429.28
  6. Step 6: Final answer
    x = 549.57

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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.