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Finding the Fourth Proportional to 1,768.02, 2,650.83 and 830.64

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Solution

The fourth proportional to 1,768.02, 2,650.83 and 830.64 is: 1,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.02 : 2,650.83 = 830.64 : x
  2. Step 2: Convert to fraction form
    1,768.02/2,650.83 = 830.64/x
  3. Step 3: Cross multiply
    1,768.02x = 2,650.83 × 830.64
  4. Step 4: Simplify right side
    1,768.02x = 2,201,885.43
  5. Step 5: Solve for x
    x = 2,201,885.43/1,768.02
  6. Step 6: Final answer
    x = 1,245.40

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1.5x scale

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.