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Finding the Fourth Proportional to 431.81, 647.75 and 381.05

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Solution

The fourth proportional to 431.81, 647.75 and 381.05 is: 571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 647.75 = 381.05 : x
  2. Step 2: Convert to fraction form
    431.81/647.75 = 381.05/x
  3. Step 3: Cross multiply
    431.81x = 647.75 × 381.05
  4. Step 4: Simplify right side
    431.81x = 246,825.14
  5. Step 5: Solve for x
    x = 246,825.14/431.81
  6. Step 6: Final answer
    x = 571.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.