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Finding the Fourth Proportional to 965.25, 1,331.07 and 858.57

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Solution

The fourth proportional to 965.25, 1,331.07 and 858.57 is: 1,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.25 : 1,331.07 = 858.57 : x
  2. Step 2: Convert to fraction form
    965.25/1,331.07 = 858.57/x
  3. Step 3: Cross multiply
    965.25x = 1,331.07 × 858.57
  4. Step 4: Simplify right side
    965.25x = 1,142,825.16
  5. Step 5: Solve for x
    x = 1,142,825.16/965.25
  6. Step 6: Final answer
    x = 1,183.96

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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.