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Finding the Fourth Proportional to 418.13, 574.43 and 374.46

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Solution

The fourth proportional to 418.13, 574.43 and 374.46 is: 514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.13 : 574.43 = 374.46 : x
  2. Step 2: Convert to fraction form
    418.13/574.43 = 374.46/x
  3. Step 3: Cross multiply
    418.13x = 574.43 × 374.46
  4. Step 4: Simplify right side
    418.13x = 215,097.03
  5. Step 5: Solve for x
    x = 215,097.03/418.13
  6. Step 6: Final answer
    x = 514.43

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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.