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Finding the Fourth Proportional to 643.44, 965.20 and 258.68

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Solution

The fourth proportional to 643.44, 965.20 and 258.68 is: 388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.44 : 965.20 = 258.68 : x
  2. Step 2: Convert to fraction form
    643.44/965.20 = 258.68/x
  3. Step 3: Cross multiply
    643.44x = 965.20 × 258.68
  4. Step 4: Simplify right side
    643.44x = 249,677.94
  5. Step 5: Solve for x
    x = 249,677.94/643.44
  6. Step 6: Final answer
    x = 388.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.