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Finding the Fourth Proportional to 1,121.49, 1,548.36 and 723.35

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Solution

The fourth proportional to 1,121.49, 1,548.36 and 723.35 is: 998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.49 : 1,548.36 = 723.35 : x
  2. Step 2: Convert to fraction form
    1,121.49/1,548.36 = 723.35/x
  3. Step 3: Cross multiply
    1,121.49x = 1,548.36 × 723.35
  4. Step 4: Simplify right side
    1,121.49x = 1,120,010.08
  5. Step 5: Solve for x
    x = 1,120,010.08/1,121.49
  6. Step 6: Final answer
    x = 998.68

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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.