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Finding the Fourth Proportional to 643.57, 888.38 and 434.34

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Solution

The fourth proportional to 643.57, 888.38 and 434.34 is: 599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.57 : 888.38 = 434.34 : x
  2. Step 2: Convert to fraction form
    643.57/888.38 = 434.34/x
  3. Step 3: Cross multiply
    643.57x = 888.38 × 434.34
  4. Step 4: Simplify right side
    643.57x = 385,858.97
  5. Step 5: Solve for x
    x = 385,858.97/643.57
  6. Step 6: Final answer
    x = 599.56

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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.