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Finding the Fourth Proportional to 414.17, 571.08 and 375.29

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Solution

The fourth proportional to 414.17, 571.08 and 375.29 is: 517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.17 : 571.08 = 375.29 : x
  2. Step 2: Convert to fraction form
    414.17/571.08 = 375.29/x
  3. Step 3: Cross multiply
    414.17x = 571.08 × 375.29
  4. Step 4: Simplify right side
    414.17x = 214,320.61
  5. Step 5: Solve for x
    x = 214,320.61/414.17
  6. Step 6: Final answer
    x = 517.47

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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.