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Finding the Fourth Proportional to 1,289.23, 1,778.33 and 952.79

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Solution

The fourth proportional to 1,289.23, 1,778.33 and 952.79 is: 1,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.23 : 1,778.33 = 952.79 : x
  2. Step 2: Convert to fraction form
    1,289.23/1,778.33 = 952.79/x
  3. Step 3: Cross multiply
    1,289.23x = 1,778.33 × 952.79
  4. Step 4: Simplify right side
    1,289.23x = 1,694,372.98
  5. Step 5: Solve for x
    x = 1,694,372.98/1,289.23
  6. Step 6: Final answer
    x = 1,314.25

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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.