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Finding the Fourth Proportional to 429.28, 594.90 and 421.09

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Solution

The fourth proportional to 429.28, 594.90 and 421.09 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.28 : 594.90 = 421.09 : x
  2. Step 2: Convert to fraction form
    429.28/594.90 = 421.09/x
  3. Step 3: Cross multiply
    429.28x = 594.90 × 421.09
  4. Step 4: Simplify right side
    429.28x = 250,504.95
  5. Step 5: Solve for x
    x = 250,504.95/429.28
  6. Step 6: Final answer
    x = 583.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.