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Finding the Fourth Proportional to 1,213.82, 1,820.07 and 520.05

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Solution

The fourth proportional to 1,213.82, 1,820.07 and 520.05 is: 779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.82 : 1,820.07 = 520.05 : x
  2. Step 2: Convert to fraction form
    1,213.82/1,820.07 = 520.05/x
  3. Step 3: Cross multiply
    1,213.82x = 1,820.07 × 520.05
  4. Step 4: Simplify right side
    1,213.82x = 946,534.23
  5. Step 5: Solve for x
    x = 946,534.23/1,213.82
  6. Step 6: Final answer
    x = 779.80

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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.