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Finding the Fourth Proportional to 960.77, 1,323.06 and 834.67

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Solution

The fourth proportional to 960.77, 1,323.06 and 834.67 is: 1,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.77 : 1,323.06 = 834.67 : x
  2. Step 2: Convert to fraction form
    960.77/1,323.06 = 834.67/x
  3. Step 3: Cross multiply
    960.77x = 1,323.06 × 834.67
  4. Step 4: Simplify right side
    960.77x = 1,104,318.49
  5. Step 5: Solve for x
    x = 1,104,318.49/960.77
  6. Step 6: Final answer
    x = 1,149.42

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1.5x scale

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.