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Finding the Fourth Proportional to 1,360.97, 1,878.13 and 739.97

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Solution

The fourth proportional to 1,360.97, 1,878.13 and 739.97 is: 1,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.97 : 1,878.13 = 739.97 : x
  2. Step 2: Convert to fraction form
    1,360.97/1,878.13 = 739.97/x
  3. Step 3: Cross multiply
    1,360.97x = 1,878.13 × 739.97
  4. Step 4: Simplify right side
    1,360.97x = 1,389,759.86
  5. Step 5: Solve for x
    x = 1,389,759.86/1,360.97
  6. Step 6: Final answer
    x = 1,021.15

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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.