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Finding the Fourth Proportional to 1,228.19, 1,694.43 and 786.02

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Solution

The fourth proportional to 1,228.19, 1,694.43 and 786.02 is: 1,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.19 : 1,694.43 = 786.02 : x
  2. Step 2: Convert to fraction form
    1,228.19/1,694.43 = 786.02/x
  3. Step 3: Cross multiply
    1,228.19x = 1,694.43 × 786.02
  4. Step 4: Simplify right side
    1,228.19x = 1,331,847.40
  5. Step 5: Solve for x
    x = 1,331,847.40/1,228.19
  6. Step 6: Final answer
    x = 1,084.40

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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.