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Finding the Fourth Proportional to 1,103.24, 1,522.46 and 771.55

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Solution

The fourth proportional to 1,103.24, 1,522.46 and 771.55 is: 1,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,522.46 = 771.55 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,522.46 = 771.55/x
  3. Step 3: Cross multiply
    1,103.24x = 1,522.46 × 771.55
  4. Step 4: Simplify right side
    1,103.24x = 1,174,652.14
  5. Step 5: Solve for x
    x = 1,174,652.14/1,103.24
  6. Step 6: Final answer
    x = 1,064.73

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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.