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Finding the Fourth Proportional to 483.42, 720.96 and 422.10

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Solution

The fourth proportional to 483.42, 720.96 and 422.10 is: 629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.42 : 720.96 = 422.10 : x
  2. Step 2: Convert to fraction form
    483.42/720.96 = 422.10/x
  3. Step 3: Cross multiply
    483.42x = 720.96 × 422.10
  4. Step 4: Simplify right side
    483.42x = 304,317.22
  5. Step 5: Solve for x
    x = 304,317.22/483.42
  6. Step 6: Final answer
    x = 629.51

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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.