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Finding the Fourth Proportional to 467.09, 696.57 and 409.58

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Solution

The fourth proportional to 467.09, 696.57 and 409.58 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.09 : 696.57 = 409.58 : x
  2. Step 2: Convert to fraction form
    467.09/696.57 = 409.58/x
  3. Step 3: Cross multiply
    467.09x = 696.57 × 409.58
  4. Step 4: Simplify right side
    467.09x = 285,299.09
  5. Step 5: Solve for x
    x = 285,299.09/467.09
  6. Step 6: Final answer
    x = 610.80

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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.