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Finding the Fourth Proportional to 1,103.56, 1,652.94 and 717.64

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Solution

The fourth proportional to 1,103.56, 1,652.94 and 717.64 is: 1,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.56 : 1,652.94 = 717.64 : x
  2. Step 2: Convert to fraction form
    1,103.56/1,652.94 = 717.64/x
  3. Step 3: Cross multiply
    1,103.56x = 1,652.94 × 717.64
  4. Step 4: Simplify right side
    1,103.56x = 1,186,215.86
  5. Step 5: Solve for x
    x = 1,186,215.86/1,103.56
  6. Step 6: Final answer
    x = 1,074.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.