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Finding the Fourth Proportional to 1,025.20, 1,406.90 and 960.40

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Solution

The fourth proportional to 1,025.20, 1,406.90 and 960.40 is: 1,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.20 : 1,406.90 = 960.40 : x
  2. Step 2: Convert to fraction form
    1,025.20/1,406.90 = 960.40/x
  3. Step 3: Cross multiply
    1,025.20x = 1,406.90 × 960.40
  4. Step 4: Simplify right side
    1,025.20x = 1,351,186.76
  5. Step 5: Solve for x
    x = 1,351,186.76/1,025.20
  6. Step 6: Final answer
    x = 1,317.97

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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.