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Finding the Fourth Proportional to 1,123.40, 1,552.21 and 1,083.98

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Solution

The fourth proportional to 1,123.40, 1,552.21 and 1,083.98 is: 1,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.40 : 1,552.21 = 1,083.98 : x
  2. Step 2: Convert to fraction form
    1,123.40/1,552.21 = 1,083.98/x
  3. Step 3: Cross multiply
    1,123.40x = 1,552.21 × 1,083.98
  4. Step 4: Simplify right side
    1,123.40x = 1,682,564.60
  5. Step 5: Solve for x
    x = 1,682,564.60/1,123.40
  6. Step 6: Final answer
    x = 1,497.74

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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.