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Finding the Fourth Proportional to 429.29, 647.78 and 414.03

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Solution

The fourth proportional to 429.29, 647.78 and 414.03 is: 624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.29 : 647.78 = 414.03 : x
  2. Step 2: Convert to fraction form
    429.29/647.78 = 414.03/x
  3. Step 3: Cross multiply
    429.29x = 647.78 × 414.03
  4. Step 4: Simplify right side
    429.29x = 268,198.28
  5. Step 5: Solve for x
    x = 268,198.28/429.29
  6. Step 6: Final answer
    x = 624.76

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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.