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Finding the Fourth Proportional to 1,103.42, 1,519.80 and 822.76

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Solution

The fourth proportional to 1,103.42, 1,519.80 and 822.76 is: 1,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.42 : 1,519.80 = 822.76 : x
  2. Step 2: Convert to fraction form
    1,103.42/1,519.80 = 822.76/x
  3. Step 3: Cross multiply
    1,103.42x = 1,519.80 × 822.76
  4. Step 4: Simplify right side
    1,103.42x = 1,250,430.65
  5. Step 5: Solve for x
    x = 1,250,430.65/1,103.42
  6. Step 6: Final answer
    x = 1,133.23

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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.