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Finding the Fourth Proportional to 1,241.83, 1,861.58 and 419.53

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Solution

The fourth proportional to 1,241.83, 1,861.58 and 419.53 is: 628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.83 : 1,861.58 = 419.53 : x
  2. Step 2: Convert to fraction form
    1,241.83/1,861.58 = 419.53/x
  3. Step 3: Cross multiply
    1,241.83x = 1,861.58 × 419.53
  4. Step 4: Simplify right side
    1,241.83x = 780,985.84
  5. Step 5: Solve for x
    x = 780,985.84/1,241.83
  6. Step 6: Final answer
    x = 628.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.