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Finding the Fourth Proportional to 1,270.15, 1,751.90 and 822.02

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Solution

The fourth proportional to 1,270.15, 1,751.90 and 822.02 is: 1,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.15 : 1,751.90 = 822.02 : x
  2. Step 2: Convert to fraction form
    1,270.15/1,751.90 = 822.02/x
  3. Step 3: Cross multiply
    1,270.15x = 1,751.90 × 822.02
  4. Step 4: Simplify right side
    1,270.15x = 1,440,083.97
  5. Step 5: Solve for x
    x = 1,440,083.97/1,270.15
  6. Step 6: Final answer
    x = 1,133.79

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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.