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Finding the Fourth Proportional to 1,195.06, 1,649.43 and 723.15

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Solution

The fourth proportional to 1,195.06, 1,649.43 and 723.15 is: 998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.06 : 1,649.43 = 723.15 : x
  2. Step 2: Convert to fraction form
    1,195.06/1,649.43 = 723.15/x
  3. Step 3: Cross multiply
    1,195.06x = 1,649.43 × 723.15
  4. Step 4: Simplify right side
    1,195.06x = 1,192,785.30
  5. Step 5: Solve for x
    x = 1,192,785.30/1,195.06
  6. Step 6: Final answer
    x = 998.10

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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.