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Finding the Fourth Proportional to 1,376.63, 1,899.74 and 755.63

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Solution

The fourth proportional to 1,376.63, 1,899.74 and 755.63 is: 1,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.63 : 1,899.74 = 755.63 : x
  2. Step 2: Convert to fraction form
    1,376.63/1,899.74 = 755.63/x
  3. Step 3: Cross multiply
    1,376.63x = 1,899.74 × 755.63
  4. Step 4: Simplify right side
    1,376.63x = 1,435,492.93
  5. Step 5: Solve for x
    x = 1,435,492.93/1,376.63
  6. Step 6: Final answer
    x = 1,042.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.