Home / 1,193.82-1,649.61-1,145.22

Finding the Fourth Proportional to 1,193.82, 1,649.61 and 1,145.22

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Solution

The fourth proportional to 1,193.82, 1,649.61 and 1,145.22 is: 1,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.82 : 1,649.61 = 1,145.22 : x
  2. Step 2: Convert to fraction form
    1,193.82/1,649.61 = 1,145.22/x
  3. Step 3: Cross multiply
    1,193.82x = 1,649.61 × 1,145.22
  4. Step 4: Simplify right side
    1,193.82x = 1,889,166.36
  5. Step 5: Solve for x
    x = 1,889,166.36/1,193.82
  6. Step 6: Final answer
    x = 1,582.45

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Half scale
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Double scale
Find fourth proportional to 1,194.82, 1,650.99 and 1,146.22
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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.