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Finding the Fourth Proportional to 1,380.88, 1,905.93 and 1,240.75

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Solution

The fourth proportional to 1,380.88, 1,905.93 and 1,240.75 is: 1,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.88 : 1,905.93 = 1,240.75 : x
  2. Step 2: Convert to fraction form
    1,380.88/1,905.93 = 1,240.75/x
  3. Step 3: Cross multiply
    1,380.88x = 1,905.93 × 1,240.75
  4. Step 4: Simplify right side
    1,380.88x = 2,364,785.03
  5. Step 5: Solve for x
    x = 2,364,785.03/1,380.88
  6. Step 6: Final answer
    x = 1,712.52

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Half scale
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Double scale
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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.