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Finding the Fourth Proportional to 643.70, 888.08 and 410.96

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Solution

The fourth proportional to 643.70, 888.08 and 410.96 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.70 : 888.08 = 410.96 : x
  2. Step 2: Convert to fraction form
    643.70/888.08 = 410.96/x
  3. Step 3: Cross multiply
    643.70x = 888.08 × 410.96
  4. Step 4: Simplify right side
    643.70x = 364,965.36
  5. Step 5: Solve for x
    x = 364,965.36/643.70
  6. Step 6: Final answer
    x = 566.98

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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.