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Finding the Fourth Proportional to 1,238, 1,708.41 and 678.50

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Solution

The fourth proportional to 1,238, 1,708.41 and 678.50 is: 936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238 : 1,708.41 = 678.50 : x
  2. Step 2: Convert to fraction form
    1,238/1,708.41 = 678.50/x
  3. Step 3: Cross multiply
    1,238x = 1,708.41 × 678.50
  4. Step 4: Simplify right side
    1,238x = 1,159,147.64
  5. Step 5: Solve for x
    x = 1,159,147.64/1,238
  6. Step 6: Final answer
    x = 936.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.