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Finding the Fourth Proportional to 414.02, 617.80 and 370.33

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Solution

The fourth proportional to 414.02, 617.80 and 370.33 is: 552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 617.80 = 370.33 : x
  2. Step 2: Convert to fraction form
    414.02/617.80 = 370.33/x
  3. Step 3: Cross multiply
    414.02x = 617.80 × 370.33
  4. Step 4: Simplify right side
    414.02x = 228,784.93
  5. Step 5: Solve for x
    x = 228,784.93/414.02
  6. Step 6: Final answer
    x = 552.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.