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Finding the Fourth Proportional to 417.61, 623.23 and 371.48

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Solution

The fourth proportional to 417.61, 623.23 and 371.48 is: 554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.61 : 623.23 = 371.48 : x
  2. Step 2: Convert to fraction form
    417.61/623.23 = 371.48/x
  3. Step 3: Cross multiply
    417.61x = 623.23 × 371.48
  4. Step 4: Simplify right side
    417.61x = 231,517.48
  5. Step 5: Solve for x
    x = 231,517.48/417.61
  6. Step 6: Final answer
    x = 554.39

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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.