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Finding the Fourth Proportional to 1,703.21, 2,349.48 and 1,172.03

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Solution

The fourth proportional to 1,703.21, 2,349.48 and 1,172.03 is: 1,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.21 : 2,349.48 = 1,172.03 : x
  2. Step 2: Convert to fraction form
    1,703.21/2,349.48 = 1,172.03/x
  3. Step 3: Cross multiply
    1,703.21x = 2,349.48 × 1,172.03
  4. Step 4: Simplify right side
    1,703.21x = 2,753,661.04
  5. Step 5: Solve for x
    x = 2,753,661.04/1,703.21
  6. Step 6: Final answer
    x = 1,616.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.