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Finding the Fourth Proportional to 418.16, 573.66 and 406.78

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Solution

The fourth proportional to 418.16, 573.66 and 406.78 is: 558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 573.66 = 406.78 : x
  2. Step 2: Convert to fraction form
    418.16/573.66 = 406.78/x
  3. Step 3: Cross multiply
    418.16x = 573.66 × 406.78
  4. Step 4: Simplify right side
    418.16x = 233,353.41
  5. Step 5: Solve for x
    x = 233,353.41/418.16
  6. Step 6: Final answer
    x = 558.05

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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.