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Finding the Fourth Proportional to 996.69, 1,374.96 and 774.12

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Solution

The fourth proportional to 996.69, 1,374.96 and 774.12 is: 1,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.69 : 1,374.96 = 774.12 : x
  2. Step 2: Convert to fraction form
    996.69/1,374.96 = 774.12/x
  3. Step 3: Cross multiply
    996.69x = 1,374.96 × 774.12
  4. Step 4: Simplify right side
    996.69x = 1,064,385.21
  5. Step 5: Solve for x
    x = 1,064,385.21/996.69
  6. Step 6: Final answer
    x = 1,067.92

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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.