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Finding the Fourth Proportional to 643.89, 888.19 and 411.02

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Solution

The fourth proportional to 643.89, 888.19 and 411.02 is: 566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.89 : 888.19 = 411.02 : x
  2. Step 2: Convert to fraction form
    643.89/888.19 = 411.02/x
  3. Step 3: Cross multiply
    643.89x = 888.19 × 411.02
  4. Step 4: Simplify right side
    643.89x = 365,058.39
  5. Step 5: Solve for x
    x = 365,058.39/643.89
  6. Step 6: Final answer
    x = 566.96

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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.