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Finding the Fourth Proportional to 1,137.02, 1,706.68 and 789.16

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Solution

The fourth proportional to 1,137.02, 1,706.68 and 789.16 is: 1,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.02 : 1,706.68 = 789.16 : x
  2. Step 2: Convert to fraction form
    1,137.02/1,706.68 = 789.16/x
  3. Step 3: Cross multiply
    1,137.02x = 1,706.68 × 789.16
  4. Step 4: Simplify right side
    1,137.02x = 1,346,843.59
  5. Step 5: Solve for x
    x = 1,346,843.59/1,137.02
  6. Step 6: Final answer
    x = 1,184.54

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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.