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Finding the Fourth Proportional to 421.98, 627.99 and 408.48

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Solution

The fourth proportional to 421.98, 627.99 and 408.48 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.98 : 627.99 = 408.48 : x
  2. Step 2: Convert to fraction form
    421.98/627.99 = 408.48/x
  3. Step 3: Cross multiply
    421.98x = 627.99 × 408.48
  4. Step 4: Simplify right side
    421.98x = 256,521.36
  5. Step 5: Solve for x
    x = 256,521.36/421.98
  6. Step 6: Final answer
    x = 607.90

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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.