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Finding the Fourth Proportional to 1,383.58, 2,074.64 and 409.56

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Solution

The fourth proportional to 1,383.58, 2,074.64 and 409.56 is: 614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.58 : 2,074.64 = 409.56 : x
  2. Step 2: Convert to fraction form
    1,383.58/2,074.64 = 409.56/x
  3. Step 3: Cross multiply
    1,383.58x = 2,074.64 × 409.56
  4. Step 4: Simplify right side
    1,383.58x = 849,689.56
  5. Step 5: Solve for x
    x = 849,689.56/1,383.58
  6. Step 6: Final answer
    x = 614.12

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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.