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Finding the Fourth Proportional to 431.22, 643.82 and 378.98

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Solution

The fourth proportional to 431.22, 643.82 and 378.98 is: 565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.22 : 643.82 = 378.98 : x
  2. Step 2: Convert to fraction form
    431.22/643.82 = 378.98/x
  3. Step 3: Cross multiply
    431.22x = 643.82 × 378.98
  4. Step 4: Simplify right side
    431.22x = 243,992.20
  5. Step 5: Solve for x
    x = 243,992.20/431.22
  6. Step 6: Final answer
    x = 565.81

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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.