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Finding the Fourth Proportional to 429.72, 641.76 and 409.08

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Solution

The fourth proportional to 429.72, 641.76 and 409.08 is: 610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.72 : 641.76 = 409.08 : x
  2. Step 2: Convert to fraction form
    429.72/641.76 = 409.08/x
  3. Step 3: Cross multiply
    429.72x = 641.76 × 409.08
  4. Step 4: Simplify right side
    429.72x = 262,531.18
  5. Step 5: Solve for x
    x = 262,531.18/429.72
  6. Step 6: Final answer
    x = 610.94

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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.