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Finding the Fourth Proportional to 643.82, 888.47 and 364.05

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Solution

The fourth proportional to 643.82, 888.47 and 364.05 is: 502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.82 : 888.47 = 364.05 : x
  2. Step 2: Convert to fraction form
    643.82/888.47 = 364.05/x
  3. Step 3: Cross multiply
    643.82x = 888.47 × 364.05
  4. Step 4: Simplify right side
    643.82x = 323,447.90
  5. Step 5: Solve for x
    x = 323,447.90/643.82
  6. Step 6: Final answer
    x = 502.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.