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Finding the Fourth Proportional to 1,199.45, 1,798.79 and 505.98

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Solution

The fourth proportional to 1,199.45, 1,798.79 and 505.98 is: 758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.45 : 1,798.79 = 505.98 : x
  2. Step 2: Convert to fraction form
    1,199.45/1,798.79 = 505.98/x
  3. Step 3: Cross multiply
    1,199.45x = 1,798.79 × 505.98
  4. Step 4: Simplify right side
    1,199.45x = 910,151.76
  5. Step 5: Solve for x
    x = 910,151.76/1,199.45
  6. Step 6: Final answer
    x = 758.81

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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.