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Finding the Fourth Proportional to 960.24, 1,326.30 and 680.78

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Solution

The fourth proportional to 960.24, 1,326.30 and 680.78 is: 940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.24 : 1,326.30 = 680.78 : x
  2. Step 2: Convert to fraction form
    960.24/1,326.30 = 680.78/x
  3. Step 3: Cross multiply
    960.24x = 1,326.30 × 680.78
  4. Step 4: Simplify right side
    960.24x = 902,918.51
  5. Step 5: Solve for x
    x = 902,918.51/960.24
  6. Step 6: Final answer
    x = 940.31

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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.