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Finding the Fourth Proportional to 960.86, 1,321.10 and 854.94

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Solution

The fourth proportional to 960.86, 1,321.10 and 854.94 is: 1,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.86 : 1,321.10 = 854.94 : x
  2. Step 2: Convert to fraction form
    960.86/1,321.10 = 854.94/x
  3. Step 3: Cross multiply
    960.86x = 1,321.10 × 854.94
  4. Step 4: Simplify right side
    960.86x = 1,129,461.23
  5. Step 5: Solve for x
    x = 1,129,461.23/960.86
  6. Step 6: Final answer
    x = 1,175.47

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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.