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Finding the Fourth Proportional to 1,238.45, 1,709.05 and 678.94

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Solution

The fourth proportional to 1,238.45, 1,709.05 and 678.94 is: 936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.45 : 1,709.05 = 678.94 : x
  2. Step 2: Convert to fraction form
    1,238.45/1,709.05 = 678.94/x
  3. Step 3: Cross multiply
    1,238.45x = 1,709.05 × 678.94
  4. Step 4: Simplify right side
    1,238.45x = 1,160,334.74
  5. Step 5: Solve for x
    x = 1,160,334.74/1,238.45
  6. Step 6: Final answer
    x = 936.93

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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.