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Finding the Fourth Proportional to 411.39, 571.61 and 407.11

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Solution

The fourth proportional to 411.39, 571.61 and 407.11 is: 565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.39 : 571.61 = 407.11 : x
  2. Step 2: Convert to fraction form
    411.39/571.61 = 407.11/x
  3. Step 3: Cross multiply
    411.39x = 571.61 × 407.11
  4. Step 4: Simplify right side
    411.39x = 232,708.15
  5. Step 5: Solve for x
    x = 232,708.15/411.39
  6. Step 6: Final answer
    x = 565.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.