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Finding the Fourth Proportional to 1,381.96, 1,906.98 and 792.40

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Solution

The fourth proportional to 1,381.96, 1,906.98 and 792.40 is: 1,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.96 : 1,906.98 = 792.40 : x
  2. Step 2: Convert to fraction form
    1,381.96/1,906.98 = 792.40/x
  3. Step 3: Cross multiply
    1,381.96x = 1,906.98 × 792.40
  4. Step 4: Simplify right side
    1,381.96x = 1,511,090.95
  5. Step 5: Solve for x
    x = 1,511,090.95/1,381.96
  6. Step 6: Final answer
    x = 1,093.44

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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.