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Finding the Fourth Proportional to 1,292.51, 1,783.94 and 850.45

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Solution

The fourth proportional to 1,292.51, 1,783.94 and 850.45 is: 1,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.51 : 1,783.94 = 850.45 : x
  2. Step 2: Convert to fraction form
    1,292.51/1,783.94 = 850.45/x
  3. Step 3: Cross multiply
    1,292.51x = 1,783.94 × 850.45
  4. Step 4: Simplify right side
    1,292.51x = 1,517,151.77
  5. Step 5: Solve for x
    x = 1,517,151.77/1,292.51
  6. Step 6: Final answer
    x = 1,173.81

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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.