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Finding the Fourth Proportional to 1,222.37, 1,685.78 and 959.93

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Solution

The fourth proportional to 1,222.37, 1,685.78 and 959.93 is: 1,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.37 : 1,685.78 = 959.93 : x
  2. Step 2: Convert to fraction form
    1,222.37/1,685.78 = 959.93/x
  3. Step 3: Cross multiply
    1,222.37x = 1,685.78 × 959.93
  4. Step 4: Simplify right side
    1,222.37x = 1,618,217.57
  5. Step 5: Solve for x
    x = 1,618,217.57/1,222.37
  6. Step 6: Final answer
    x = 1,323.84

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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.