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Finding the Fourth Proportional to 423.87, 631.02 and 419.19

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Solution

The fourth proportional to 423.87, 631.02 and 419.19 is: 624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.87 : 631.02 = 419.19 : x
  2. Step 2: Convert to fraction form
    423.87/631.02 = 419.19/x
  3. Step 3: Cross multiply
    423.87x = 631.02 × 419.19
  4. Step 4: Simplify right side
    423.87x = 264,517.27
  5. Step 5: Solve for x
    x = 264,517.27/423.87
  6. Step 6: Final answer
    x = 624.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.