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Finding the Fourth Proportional to 643.68, 965.76 and 258.72

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Solution

The fourth proportional to 643.68, 965.76 and 258.72 is: 388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.68 : 965.76 = 258.72 : x
  2. Step 2: Convert to fraction form
    643.68/965.76 = 258.72/x
  3. Step 3: Cross multiply
    643.68x = 965.76 × 258.72
  4. Step 4: Simplify right side
    643.68x = 249,861.43
  5. Step 5: Solve for x
    x = 249,861.43/643.68
  6. Step 6: Final answer
    x = 388.18

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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.