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Finding the Fourth Proportional to 960.26, 1,316.67 and 866.66

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Solution

The fourth proportional to 960.26, 1,316.67 and 866.66 is: 1,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.26 : 1,316.67 = 866.66 : x
  2. Step 2: Convert to fraction form
    960.26/1,316.67 = 866.66/x
  3. Step 3: Cross multiply
    960.26x = 1,316.67 × 866.66
  4. Step 4: Simplify right side
    960.26x = 1,141,100.89
  5. Step 5: Solve for x
    x = 1,141,100.89/960.26
  6. Step 6: Final answer
    x = 1,188.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.