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Finding the Fourth Proportional to 1,208.45, 1,667.67 and 684.47

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Solution

The fourth proportional to 1,208.45, 1,667.67 and 684.47 is: 944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.45 : 1,667.67 = 684.47 : x
  2. Step 2: Convert to fraction form
    1,208.45/1,667.67 = 684.47/x
  3. Step 3: Cross multiply
    1,208.45x = 1,667.67 × 684.47
  4. Step 4: Simplify right side
    1,208.45x = 1,141,470.08
  5. Step 5: Solve for x
    x = 1,141,470.08/1,208.45
  6. Step 6: Final answer
    x = 944.57

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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.