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Finding the Fourth Proportional to 1,119.25, 1,678.65 and 388.86

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Solution

The fourth proportional to 1,119.25, 1,678.65 and 388.86 is: 583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.25 : 1,678.65 = 388.86 : x
  2. Step 2: Convert to fraction form
    1,119.25/1,678.65 = 388.86/x
  3. Step 3: Cross multiply
    1,119.25x = 1,678.65 × 388.86
  4. Step 4: Simplify right side
    1,119.25x = 652,759.84
  5. Step 5: Solve for x
    x = 652,759.84/1,119.25
  6. Step 6: Final answer
    x = 583.21

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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.