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Finding the Fourth Proportional to 417.37, 574.62 and 343.55

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Solution

The fourth proportional to 417.37, 574.62 and 343.55 is: 472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.37 : 574.62 = 343.55 : x
  2. Step 2: Convert to fraction form
    417.37/574.62 = 343.55/x
  3. Step 3: Cross multiply
    417.37x = 574.62 × 343.55
  4. Step 4: Simplify right side
    417.37x = 197,408.98
  5. Step 5: Solve for x
    x = 197,408.98/417.37
  6. Step 6: Final answer
    x = 472.99

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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.