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Finding the Fourth Proportional to 1,195.19, 1,649.37 and 671.23

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Solution

The fourth proportional to 1,195.19, 1,649.37 and 671.23 is: 926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.19 : 1,649.37 = 671.23 : x
  2. Step 2: Convert to fraction form
    1,195.19/1,649.37 = 671.23/x
  3. Step 3: Cross multiply
    1,195.19x = 1,649.37 × 671.23
  4. Step 4: Simplify right side
    1,195.19x = 1,107,106.63
  5. Step 5: Solve for x
    x = 1,107,106.63/1,195.19
  6. Step 6: Final answer
    x = 926.30

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Half scale
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Double scale
Find fourth proportional to 1,196.19, 1,650.75 and 672.23
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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.