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Finding the Fourth Proportional to 996.35, 1,494.32 and 946.95

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Solution

The fourth proportional to 996.35, 1,494.32 and 946.95 is: 1,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.35 : 1,494.32 = 946.95 : x
  2. Step 2: Convert to fraction form
    996.35/1,494.32 = 946.95/x
  3. Step 3: Cross multiply
    996.35x = 1,494.32 × 946.95
  4. Step 4: Simplify right side
    996.35x = 1,415,045.14
  5. Step 5: Solve for x
    x = 1,415,045.14/996.35
  6. Step 6: Final answer
    x = 1,420.23

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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.