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Finding the Fourth Proportional to 996.25, 1,493.14 and 631.14

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Solution

The fourth proportional to 996.25, 1,493.14 and 631.14 is: 945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.25 : 1,493.14 = 631.14 : x
  2. Step 2: Convert to fraction form
    996.25/1,493.14 = 631.14/x
  3. Step 3: Cross multiply
    996.25x = 1,493.14 × 631.14
  4. Step 4: Simplify right side
    996.25x = 942,380.38
  5. Step 5: Solve for x
    x = 942,380.38/996.25
  6. Step 6: Final answer
    x = 945.93

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.