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Finding the Fourth Proportional to 996.21, 1,494.27 and 347.00

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Solution

The fourth proportional to 996.21, 1,494.27 and 347.00 is: 520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.21 : 1,494.27 = 347.00 : x
  2. Step 2: Convert to fraction form
    996.21/1,494.27 = 347.00/x
  3. Step 3: Cross multiply
    996.21x = 1,494.27 × 347.00
  4. Step 4: Simplify right side
    996.21x = 518,504.22
  5. Step 5: Solve for x
    x = 518,504.22/996.21
  6. Step 6: Final answer
    x = 520.48

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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.