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Finding the Fourth Proportional to 1,074.94, 1,479.77 and 964.37

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Solution

The fourth proportional to 1,074.94, 1,479.77 and 964.37 is: 1,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.94 : 1,479.77 = 964.37 : x
  2. Step 2: Convert to fraction form
    1,074.94/1,479.77 = 964.37/x
  3. Step 3: Cross multiply
    1,074.94x = 1,479.77 × 964.37
  4. Step 4: Simplify right side
    1,074.94x = 1,427,048.29
  5. Step 5: Solve for x
    x = 1,427,048.29/1,074.94
  6. Step 6: Final answer
    x = 1,327.56

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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.