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Finding the Fourth Proportional to 1,819.77, 2,729.43 and 503.62

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Solution

The fourth proportional to 1,819.77, 2,729.43 and 503.62 is: 755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.77 : 2,729.43 = 503.62 : x
  2. Step 2: Convert to fraction form
    1,819.77/2,729.43 = 503.62/x
  3. Step 3: Cross multiply
    1,819.77x = 2,729.43 × 503.62
  4. Step 4: Simplify right side
    1,819.77x = 1,374,588.71
  5. Step 5: Solve for x
    x = 1,374,588.71/1,819.77
  6. Step 6: Final answer
    x = 755.37

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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.