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Finding the Fourth Proportional to 969.24, 1,339.26 and 774.36

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Solution

The fourth proportional to 969.24, 1,339.26 and 774.36 is: 1,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.24 : 1,339.26 = 774.36 : x
  2. Step 2: Convert to fraction form
    969.24/1,339.26 = 774.36/x
  3. Step 3: Cross multiply
    969.24x = 1,339.26 × 774.36
  4. Step 4: Simplify right side
    969.24x = 1,037,069.37
  5. Step 5: Solve for x
    x = 1,037,069.37/969.24
  6. Step 6: Final answer
    x = 1,069.98

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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.