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Finding the Fourth Proportional to 1,213.95, 1,821.19 and 520.49

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Solution

The fourth proportional to 1,213.95, 1,821.19 and 520.49 is: 780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.95 : 1,821.19 = 520.49 : x
  2. Step 2: Convert to fraction form
    1,213.95/1,821.19 = 520.49/x
  3. Step 3: Cross multiply
    1,213.95x = 1,821.19 × 520.49
  4. Step 4: Simplify right side
    1,213.95x = 947,911.18
  5. Step 5: Solve for x
    x = 947,911.18/1,213.95
  6. Step 6: Final answer
    x = 780.85

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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.