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Finding the Fourth Proportional to 1,143.44, 1,578.26 and 671.42

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Solution

The fourth proportional to 1,143.44, 1,578.26 and 671.42 is: 926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.44 : 1,578.26 = 671.42 : x
  2. Step 2: Convert to fraction form
    1,143.44/1,578.26 = 671.42/x
  3. Step 3: Cross multiply
    1,143.44x = 1,578.26 × 671.42
  4. Step 4: Simplify right side
    1,143.44x = 1,059,675.33
  5. Step 5: Solve for x
    x = 1,059,675.33/1,143.44
  6. Step 6: Final answer
    x = 926.74

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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.