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Finding the Fourth Proportional to 1,193.85, 1,647.50 and 696.51

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Solution

The fourth proportional to 1,193.85, 1,647.50 and 696.51 is: 961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.85 : 1,647.50 = 696.51 : x
  2. Step 2: Convert to fraction form
    1,193.85/1,647.50 = 696.51/x
  3. Step 3: Cross multiply
    1,193.85x = 1,647.50 × 696.51
  4. Step 4: Simplify right side
    1,193.85x = 1,147,496.74
  5. Step 5: Solve for x
    x = 1,147,496.74/1,193.85
  6. Step 6: Final answer
    x = 961.17

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Half scale
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Double scale
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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.