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Finding the Fourth Proportional to 614.02, 847.36 and 481.40

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Solution

The fourth proportional to 614.02, 847.36 and 481.40 is: 664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.02 : 847.36 = 481.40 : x
  2. Step 2: Convert to fraction form
    614.02/847.36 = 481.40/x
  3. Step 3: Cross multiply
    614.02x = 847.36 × 481.40
  4. Step 4: Simplify right side
    614.02x = 407,919.10
  5. Step 5: Solve for x
    x = 407,919.10/614.02
  6. Step 6: Final answer
    x = 664.34

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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.