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Finding the Fourth Proportional to 1,956.82, 2,935.50 and 658.66

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Solution

The fourth proportional to 1,956.82, 2,935.50 and 658.66 is: 988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.82 : 2,935.50 = 658.66 : x
  2. Step 2: Convert to fraction form
    1,956.82/2,935.50 = 658.66/x
  3. Step 3: Cross multiply
    1,956.82x = 2,935.50 × 658.66
  4. Step 4: Simplify right side
    1,956.82x = 1,933,496.43
  5. Step 5: Solve for x
    x = 1,933,496.43/1,956.82
  6. Step 6: Final answer
    x = 988.08

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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.