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Finding the Fourth Proportional to 1,399.35, 2,097.12 and 741.06

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Solution

The fourth proportional to 1,399.35, 2,097.12 and 741.06 is: 1,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.35 : 2,097.12 = 741.06 : x
  2. Step 2: Convert to fraction form
    1,399.35/2,097.12 = 741.06/x
  3. Step 3: Cross multiply
    1,399.35x = 2,097.12 × 741.06
  4. Step 4: Simplify right side
    1,399.35x = 1,554,091.75
  5. Step 5: Solve for x
    x = 1,554,091.75/1,399.35
  6. Step 6: Final answer
    x = 1,110.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.