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Finding the Fourth Proportional to 643.56, 887.94 and 410.82

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Solution

The fourth proportional to 643.56, 887.94 and 410.82 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.56 : 887.94 = 410.82 : x
  2. Step 2: Convert to fraction form
    643.56/887.94 = 410.82/x
  3. Step 3: Cross multiply
    643.56x = 887.94 × 410.82
  4. Step 4: Simplify right side
    643.56x = 364,783.51
  5. Step 5: Solve for x
    x = 364,783.51/643.56
  6. Step 6: Final answer
    x = 566.82

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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.