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Finding the Fourth Proportional to 429.43, 643.02 and 393.79

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Solution

The fourth proportional to 429.43, 643.02 and 393.79 is: 589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.43 : 643.02 = 393.79 : x
  2. Step 2: Convert to fraction form
    429.43/643.02 = 393.79/x
  3. Step 3: Cross multiply
    429.43x = 643.02 × 393.79
  4. Step 4: Simplify right side
    429.43x = 253,214.85
  5. Step 5: Solve for x
    x = 253,214.85/429.43
  6. Step 6: Final answer
    x = 589.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.