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Finding the Fourth Proportional to 1,119.33, 1,678.32 and 388.71

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Solution

The fourth proportional to 1,119.33, 1,678.32 and 388.71 is: 582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.33 : 1,678.32 = 388.71 : x
  2. Step 2: Convert to fraction form
    1,119.33/1,678.32 = 388.71/x
  3. Step 3: Cross multiply
    1,119.33x = 1,678.32 × 388.71
  4. Step 4: Simplify right side
    1,119.33x = 652,379.77
  5. Step 5: Solve for x
    x = 652,379.77/1,119.33
  6. Step 6: Final answer
    x = 582.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.