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Finding the Fourth Proportional to 417.82, 623.41 and 371.38

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Solution

The fourth proportional to 417.82, 623.41 and 371.38 is: 554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.82 : 623.41 = 371.38 : x
  2. Step 2: Convert to fraction form
    417.82/623.41 = 371.38/x
  3. Step 3: Cross multiply
    417.82x = 623.41 × 371.38
  4. Step 4: Simplify right side
    417.82x = 231,522.01
  5. Step 5: Solve for x
    x = 231,522.01/417.82
  6. Step 6: Final answer
    x = 554.12

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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.