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Finding the Fourth Proportional to 429.37, 641.00 and 414.18

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Solution

The fourth proportional to 429.37, 641.00 and 414.18 is: 618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.37 : 641.00 = 414.18 : x
  2. Step 2: Convert to fraction form
    429.37/641.00 = 414.18/x
  3. Step 3: Cross multiply
    429.37x = 641.00 × 414.18
  4. Step 4: Simplify right side
    429.37x = 265,488.09
  5. Step 5: Solve for x
    x = 265,488.09/429.37
  6. Step 6: Final answer
    x = 618.32

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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.