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Finding the Fourth Proportional to 1,797.10, 2,695.50 and 756.64

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Solution

The fourth proportional to 1,797.10, 2,695.50 and 756.64 is: 1,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.10 : 2,695.50 = 756.64 : x
  2. Step 2: Convert to fraction form
    1,797.10/2,695.50 = 756.64/x
  3. Step 3: Cross multiply
    1,797.10x = 2,695.50 × 756.64
  4. Step 4: Simplify right side
    1,797.10x = 2,039,523.12
  5. Step 5: Solve for x
    x = 2,039,523.12/1,797.10
  6. Step 6: Final answer
    x = 1,134.90

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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.