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Finding the Fourth Proportional to 1,119.38, 1,678.66 and 426.23

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Solution

The fourth proportional to 1,119.38, 1,678.66 and 426.23 is: 639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.38 : 1,678.66 = 426.23 : x
  2. Step 2: Convert to fraction form
    1,119.38/1,678.66 = 426.23/x
  3. Step 3: Cross multiply
    1,119.38x = 1,678.66 × 426.23
  4. Step 4: Simplify right side
    1,119.38x = 715,491.06
  5. Step 5: Solve for x
    x = 715,491.06/1,119.38
  6. Step 6: Final answer
    x = 639.19

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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.