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Finding the Fourth Proportional to 420.80, 627.82 and 374.60

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Solution

The fourth proportional to 420.80, 627.82 and 374.60 is: 558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.80 : 627.82 = 374.60 : x
  2. Step 2: Convert to fraction form
    420.80/627.82 = 374.60/x
  3. Step 3: Cross multiply
    420.80x = 627.82 × 374.60
  4. Step 4: Simplify right side
    420.80x = 235,181.37
  5. Step 5: Solve for x
    x = 235,181.37/420.80
  6. Step 6: Final answer
    x = 558.89

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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.