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Finding the Fourth Proportional to 411.95, 563.94 and 409.02

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Solution

The fourth proportional to 411.95, 563.94 and 409.02 is: 559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.95 : 563.94 = 409.02 : x
  2. Step 2: Convert to fraction form
    411.95/563.94 = 409.02/x
  3. Step 3: Cross multiply
    411.95x = 563.94 × 409.02
  4. Step 4: Simplify right side
    411.95x = 230,662.74
  5. Step 5: Solve for x
    x = 230,662.74/411.95
  6. Step 6: Final answer
    x = 559.93

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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.