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Finding the Fourth Proportional to 1,197.34, 1,647.84 and 1,013.25

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Solution

The fourth proportional to 1,197.34, 1,647.84 and 1,013.25 is: 1,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.34 : 1,647.84 = 1,013.25 : x
  2. Step 2: Convert to fraction form
    1,197.34/1,647.84 = 1,013.25/x
  3. Step 3: Cross multiply
    1,197.34x = 1,647.84 × 1,013.25
  4. Step 4: Simplify right side
    1,197.34x = 1,669,673.88
  5. Step 5: Solve for x
    x = 1,669,673.88/1,197.34
  6. Step 6: Final answer
    x = 1,394.49

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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.