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Finding the Fourth Proportional to 421.22, 627.10 and 419.18

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Solution

The fourth proportional to 421.22, 627.10 and 419.18 is: 624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.22 : 627.10 = 419.18 : x
  2. Step 2: Convert to fraction form
    421.22/627.10 = 419.18/x
  3. Step 3: Cross multiply
    421.22x = 627.10 × 419.18
  4. Step 4: Simplify right side
    421.22x = 262,867.78
  5. Step 5: Solve for x
    x = 262,867.78/421.22
  6. Step 6: Final answer
    x = 624.06

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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.