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Finding the Fourth Proportional to 1,208.74, 1,667.40 and 788.56

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Solution

The fourth proportional to 1,208.74, 1,667.40 and 788.56 is: 1,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.74 : 1,667.40 = 788.56 : x
  2. Step 2: Convert to fraction form
    1,208.74/1,667.40 = 788.56/x
  3. Step 3: Cross multiply
    1,208.74x = 1,667.40 × 788.56
  4. Step 4: Simplify right side
    1,208.74x = 1,314,844.94
  5. Step 5: Solve for x
    x = 1,314,844.94/1,208.74
  6. Step 6: Final answer
    x = 1,087.78

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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.