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Finding the Fourth Proportional to 411.14, 571.37 and 406.89

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Solution

The fourth proportional to 411.14, 571.37 and 406.89 is: 565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 571.37 = 406.89 : x
  2. Step 2: Convert to fraction form
    411.14/571.37 = 406.89/x
  3. Step 3: Cross multiply
    411.14x = 571.37 × 406.89
  4. Step 4: Simplify right side
    411.14x = 232,482.70
  5. Step 5: Solve for x
    x = 232,482.70/411.14
  6. Step 6: Final answer
    x = 565.47

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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.