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Finding the Fourth Proportional to 429.35, 640.43 and 393.97

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Solution

The fourth proportional to 429.35, 640.43 and 393.97 is: 587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.35 : 640.43 = 393.97 : x
  2. Step 2: Convert to fraction form
    429.35/640.43 = 393.97/x
  3. Step 3: Cross multiply
    429.35x = 640.43 × 393.97
  4. Step 4: Simplify right side
    429.35x = 252,307.00
  5. Step 5: Solve for x
    x = 252,307.00/429.35
  6. Step 6: Final answer
    x = 587.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.