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Finding the Fourth Proportional to 656, 983.93 and 193.78

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Solution

The fourth proportional to 656, 983.93 and 193.78 is: 290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656 : 983.93 = 193.78 : x
  2. Step 2: Convert to fraction form
    656/983.93 = 193.78/x
  3. Step 3: Cross multiply
    656x = 983.93 × 193.78
  4. Step 4: Simplify right side
    656x = 190,665.96
  5. Step 5: Solve for x
    x = 190,665.96/656
  6. Step 6: Final answer
    x = 290.65

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Why These Related Problems?

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