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Finding the Fourth Proportional to 483.18, 720.78 and 450.05

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Solution

The fourth proportional to 483.18, 720.78 and 450.05 is: 671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.18 : 720.78 = 450.05 : x
  2. Step 2: Convert to fraction form
    483.18/720.78 = 450.05/x
  3. Step 3: Cross multiply
    483.18x = 720.78 × 450.05
  4. Step 4: Simplify right side
    483.18x = 324,383.44
  5. Step 5: Solve for x
    x = 324,383.44/483.18
  6. Step 6: Final answer
    x = 671.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.