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Finding the Fourth Proportional to 2,633.70, 3,950.53 and 659.32

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Solution

The fourth proportional to 2,633.70, 3,950.53 and 659.32 is: 988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.70 : 3,950.53 = 659.32 : x
  2. Step 2: Convert to fraction form
    2,633.70/3,950.53 = 659.32/x
  3. Step 3: Cross multiply
    2,633.70x = 3,950.53 × 659.32
  4. Step 4: Simplify right side
    2,633.70x = 2,604,663.44
  5. Step 5: Solve for x
    x = 2,604,663.44/2,633.70
  6. Step 6: Final answer
    x = 988.97

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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.