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Finding the Fourth Proportional to 1,382.60, 2,074.09 and 504.99

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Solution

The fourth proportional to 1,382.60, 2,074.09 and 504.99 is: 757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.60 : 2,074.09 = 504.99 : x
  2. Step 2: Convert to fraction form
    1,382.60/2,074.09 = 504.99/x
  3. Step 3: Cross multiply
    1,382.60x = 2,074.09 × 504.99
  4. Step 4: Simplify right side
    1,382.60x = 1,047,384.34
  5. Step 5: Solve for x
    x = 1,047,384.34/1,382.60
  6. Step 6: Final answer
    x = 757.55

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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.