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Finding the Fourth Proportional to 699.47, 965.27 and 388.97

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Solution

The fourth proportional to 699.47, 965.27 and 388.97 is: 536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.47 : 965.27 = 388.97 : x
  2. Step 2: Convert to fraction form
    699.47/965.27 = 388.97/x
  3. Step 3: Cross multiply
    699.47x = 965.27 × 388.97
  4. Step 4: Simplify right side
    699.47x = 375,460.84
  5. Step 5: Solve for x
    x = 375,460.84/699.47
  6. Step 6: Final answer
    x = 536.78

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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.