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Finding the Fourth Proportional to 960, 1,325.28 and 684.48

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Solution

The fourth proportional to 960, 1,325.28 and 684.48 is: 944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    960 : 1,325.28 = 684.48 : x
  2. Step 2: Convert to fraction form
    960/1,325.28 = 684.48/x
  3. Step 3: Cross multiply
    960x = 1,325.28 × 684.48
  4. Step 4: Simplify right side
    960x = 907,127.65
  5. Step 5: Solve for x
    x = 907,127.65/960
  6. Step 6: Final answer
    x = 944.92

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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.