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Finding the Fourth Proportional to 429.34, 647.38 and 400.63

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Solution

The fourth proportional to 429.34, 647.38 and 400.63 is: 604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.34 : 647.38 = 400.63 : x
  2. Step 2: Convert to fraction form
    429.34/647.38 = 400.63/x
  3. Step 3: Cross multiply
    429.34x = 647.38 × 400.63
  4. Step 4: Simplify right side
    429.34x = 259,359.85
  5. Step 5: Solve for x
    x = 259,359.85/429.34
  6. Step 6: Final answer
    x = 604.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.