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Finding the Fourth Proportional to 1,373.96, 1,896.08 and 744.50

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Solution

The fourth proportional to 1,373.96, 1,896.08 and 744.50 is: 1,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.96 : 1,896.08 = 744.50 : x
  2. Step 2: Convert to fraction form
    1,373.96/1,896.08 = 744.50/x
  3. Step 3: Cross multiply
    1,373.96x = 1,896.08 × 744.50
  4. Step 4: Simplify right side
    1,373.96x = 1,411,623.94
  5. Step 5: Solve for x
    x = 1,411,623.94/1,373.96
  6. Step 6: Final answer
    x = 1,027.42

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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.