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Finding the Fourth Proportional to 1,208.56, 1,667.32 and 789.40

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Solution

The fourth proportional to 1,208.56, 1,667.32 and 789.40 is: 1,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.56 : 1,667.32 = 789.40 : x
  2. Step 2: Convert to fraction form
    1,208.56/1,667.32 = 789.40/x
  3. Step 3: Cross multiply
    1,208.56x = 1,667.32 × 789.40
  4. Step 4: Simplify right side
    1,208.56x = 1,316,182.41
  5. Step 5: Solve for x
    x = 1,316,182.41/1,208.56
  6. Step 6: Final answer
    x = 1,089.05

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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.