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Finding the Fourth Proportional to 418.29, 623.84 and 381.84

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Solution

The fourth proportional to 418.29, 623.84 and 381.84 is: 569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.29 : 623.84 = 381.84 : x
  2. Step 2: Convert to fraction form
    418.29/623.84 = 381.84/x
  3. Step 3: Cross multiply
    418.29x = 623.84 × 381.84
  4. Step 4: Simplify right side
    418.29x = 238,207.07
  5. Step 5: Solve for x
    x = 238,207.07/418.29
  6. Step 6: Final answer
    x = 569.48

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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.