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Finding the Fourth Proportional to 643.74, 888.75 and 411

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Solution

The fourth proportional to 643.74, 888.75 and 411 is: 567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.74 : 888.75 = 411 : x
  2. Step 2: Convert to fraction form
    643.74/888.75 = 411/x
  3. Step 3: Cross multiply
    643.74x = 888.75 × 411
  4. Step 4: Simplify right side
    643.74x = 365,276.25
  5. Step 5: Solve for x
    x = 365,276.25/643.74
  6. Step 6: Final answer
    x = 567.43

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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.