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Finding the Fourth Proportional to 1,380.96, 1,905.74 and 751.50

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Solution

The fourth proportional to 1,380.96, 1,905.74 and 751.50 is: 1,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.96 : 1,905.74 = 751.50 : x
  2. Step 2: Convert to fraction form
    1,380.96/1,905.74 = 751.50/x
  3. Step 3: Cross multiply
    1,380.96x = 1,905.74 × 751.50
  4. Step 4: Simplify right side
    1,380.96x = 1,432,169.09
  5. Step 5: Solve for x
    x = 1,432,169.09/1,380.96
  6. Step 6: Final answer
    x = 1,037.08

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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.