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Finding the Fourth Proportional to 1,813.23, 2,720.25 and 514.71

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Solution

The fourth proportional to 1,813.23, 2,720.25 and 514.71 is: 772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.23 : 2,720.25 = 514.71 : x
  2. Step 2: Convert to fraction form
    1,813.23/2,720.25 = 514.71/x
  3. Step 3: Cross multiply
    1,813.23x = 2,720.25 × 514.71
  4. Step 4: Simplify right side
    1,813.23x = 1,400,139.88
  5. Step 5: Solve for x
    x = 1,400,139.88/1,813.23
  6. Step 6: Final answer
    x = 772.18

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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.