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Finding the Fourth Proportional to 1,674.92, 2,512.74 and 505.01

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Solution

The fourth proportional to 1,674.92, 2,512.74 and 505.01 is: 757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.92 : 2,512.74 = 505.01 : x
  2. Step 2: Convert to fraction form
    1,674.92/2,512.74 = 505.01/x
  3. Step 3: Cross multiply
    1,674.92x = 2,512.74 × 505.01
  4. Step 4: Simplify right side
    1,674.92x = 1,268,965.11
  5. Step 5: Solve for x
    x = 1,268,965.11/1,674.92
  6. Step 6: Final answer
    x = 757.63

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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.