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Finding the Fourth Proportional to 1,596.91, 2,396.81 and 817.45

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Solution

The fourth proportional to 1,596.91, 2,396.81 and 817.45 is: 1,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.91 : 2,396.81 = 817.45 : x
  2. Step 2: Convert to fraction form
    1,596.91/2,396.81 = 817.45/x
  3. Step 3: Cross multiply
    1,596.91x = 2,396.81 × 817.45
  4. Step 4: Simplify right side
    1,596.91x = 1,959,262.26
  5. Step 5: Solve for x
    x = 1,959,262.26/1,596.91
  6. Step 6: Final answer
    x = 1,226.91

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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.