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Finding the Fourth Proportional to 1,200.15, 1,700.33 and 1,200.15

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Solution

The fourth proportional to 1,200.15, 1,700.33 and 1,200.15 is: 1,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.15 : 1,700.33 = 1,200.15 : x
  2. Step 2: Convert to fraction form
    1,200.15/1,700.33 = 1,200.15/x
  3. Step 3: Cross multiply
    1,200.15x = 1,700.33 × 1,200.15
  4. Step 4: Simplify right side
    1,200.15x = 2,040,645.05
  5. Step 5: Solve for x
    x = 2,040,645.05/1,200.15
  6. Step 6: Final answer
    x = 1,700.33

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.