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Finding the Fourth Proportional to 960.64, 1,323.84 and 684.16

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Solution

The fourth proportional to 960.64, 1,323.84 and 684.16 is: 942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.64 : 1,323.84 = 684.16 : x
  2. Step 2: Convert to fraction form
    960.64/1,323.84 = 684.16/x
  3. Step 3: Cross multiply
    960.64x = 1,323.84 × 684.16
  4. Step 4: Simplify right side
    960.64x = 905,718.37
  5. Step 5: Solve for x
    x = 905,718.37/960.64
  6. Step 6: Final answer
    x = 942.83

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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.