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Finding the Fourth Proportional to 417.88, 623.03 and 381.03

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Solution

The fourth proportional to 417.88, 623.03 and 381.03 is: 568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.88 : 623.03 = 381.03 : x
  2. Step 2: Convert to fraction form
    417.88/623.03 = 381.03/x
  3. Step 3: Cross multiply
    417.88x = 623.03 × 381.03
  4. Step 4: Simplify right side
    417.88x = 237,393.12
  5. Step 5: Solve for x
    x = 237,393.12/417.88
  6. Step 6: Final answer
    x = 568.09

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Double scale
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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.