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Finding the Fourth Proportional to 429.68, 641.06 and 409.02

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Solution

The fourth proportional to 429.68, 641.06 and 409.02 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 641.06 = 409.02 : x
  2. Step 2: Convert to fraction form
    429.68/641.06 = 409.02/x
  3. Step 3: Cross multiply
    429.68x = 641.06 × 409.02
  4. Step 4: Simplify right side
    429.68x = 262,206.36
  5. Step 5: Solve for x
    x = 262,206.36/429.68
  6. Step 6: Final answer
    x = 610.24

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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.