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Finding the Fourth Proportional to 1,193.62, 1,647.12 and 696.40

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Solution

The fourth proportional to 1,193.62, 1,647.12 and 696.40 is: 960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.62 : 1,647.12 = 696.40 : x
  2. Step 2: Convert to fraction form
    1,193.62/1,647.12 = 696.40/x
  3. Step 3: Cross multiply
    1,193.62x = 1,647.12 × 696.40
  4. Step 4: Simplify right side
    1,193.62x = 1,147,054.37
  5. Step 5: Solve for x
    x = 1,147,054.37/1,193.62
  6. Step 6: Final answer
    x = 960.99

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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.