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Finding the Fourth Proportional to 416.77, 574.79 and 406.74

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Solution

The fourth proportional to 416.77, 574.79 and 406.74 is: 560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.77 : 574.79 = 406.74 : x
  2. Step 2: Convert to fraction form
    416.77/574.79 = 406.74/x
  3. Step 3: Cross multiply
    416.77x = 574.79 × 406.74
  4. Step 4: Simplify right side
    416.77x = 233,790.08
  5. Step 5: Solve for x
    x = 233,790.08/416.77
  6. Step 6: Final answer
    x = 560.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.