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Finding the Fourth Proportional to 1,270.85, 1,754.55 and 822.92

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Solution

The fourth proportional to 1,270.85, 1,754.55 and 822.92 is: 1,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.85 : 1,754.55 = 822.92 : x
  2. Step 2: Convert to fraction form
    1,270.85/1,754.55 = 822.92/x
  3. Step 3: Cross multiply
    1,270.85x = 1,754.55 × 822.92
  4. Step 4: Simplify right side
    1,270.85x = 1,443,845.51
  5. Step 5: Solve for x
    x = 1,443,845.51/1,270.85
  6. Step 6: Final answer
    x = 1,136.13

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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.