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Finding the Fourth Proportional to 1,813.89, 2,720.85 and 515.37

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Solution

The fourth proportional to 1,813.89, 2,720.85 and 515.37 is: 773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.89 : 2,720.85 = 515.37 : x
  2. Step 2: Convert to fraction form
    1,813.89/2,720.85 = 515.37/x
  3. Step 3: Cross multiply
    1,813.89x = 2,720.85 × 515.37
  4. Step 4: Simplify right side
    1,813.89x = 1,402,244.46
  5. Step 5: Solve for x
    x = 1,402,244.46/1,813.89
  6. Step 6: Final answer
    x = 773.06

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Why These Related Problems?

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