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Finding the Fourth Proportional to 1,596.68, 2,204.51 and 1,223

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Solution

The fourth proportional to 1,596.68, 2,204.51 and 1,223 is: 1,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.68 : 2,204.51 = 1,223 : x
  2. Step 2: Convert to fraction form
    1,596.68/2,204.51 = 1,223/x
  3. Step 3: Cross multiply
    1,596.68x = 2,204.51 × 1,223
  4. Step 4: Simplify right side
    1,596.68x = 2,696,115.73
  5. Step 5: Solve for x
    x = 2,696,115.73/1,596.68
  6. Step 6: Final answer
    x = 1,688.58

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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.