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Finding the Fourth Proportional to 643.80, 888.38 and 364.08

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Solution

The fourth proportional to 643.80, 888.38 and 364.08 is: 502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.80 : 888.38 = 364.08 : x
  2. Step 2: Convert to fraction form
    643.80/888.38 = 364.08/x
  3. Step 3: Cross multiply
    643.80x = 888.38 × 364.08
  4. Step 4: Simplify right side
    643.80x = 323,441.39
  5. Step 5: Solve for x
    x = 323,441.39/643.80
  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.