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Finding the Fourth Proportional to 414.71, 568.21 and 409.59

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Solution

The fourth proportional to 414.71, 568.21 and 409.59 is: 561.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.71 : 568.21 = 409.59 : x
  2. Step 2: Convert to fraction form
    414.71/568.21 = 409.59/x
  3. Step 3: Cross multiply
    414.71x = 568.21 × 409.59
  4. Step 4: Simplify right side
    414.71x = 232,728.24
  5. Step 5: Solve for x
    x = 232,728.24/414.71
  6. Step 6: Final answer
    x = 561.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.