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Finding the Fourth Proportional to 699.96, 965.98 and 385.25

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Solution

The fourth proportional to 699.96, 965.98 and 385.25 is: 531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.96 : 965.98 = 385.25 : x
  2. Step 2: Convert to fraction form
    699.96/965.98 = 385.25/x
  3. Step 3: Cross multiply
    699.96x = 965.98 × 385.25
  4. Step 4: Simplify right side
    699.96x = 372,143.80
  5. Step 5: Solve for x
    x = 372,143.80/699.96
  6. Step 6: Final answer
    x = 531.66

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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.