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Finding the Fourth Proportional to 1,504.81, 2,257.18 and 812.83

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Solution

The fourth proportional to 1,504.81, 2,257.18 and 812.83 is: 1,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.81 : 2,257.18 = 812.83 : x
  2. Step 2: Convert to fraction form
    1,504.81/2,257.18 = 812.83/x
  3. Step 3: Cross multiply
    1,504.81x = 2,257.18 × 812.83
  4. Step 4: Simplify right side
    1,504.81x = 1,834,690.02
  5. Step 5: Solve for x
    x = 1,834,690.02/1,504.81
  6. Step 6: Final answer
    x = 1,219.22

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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.