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Finding the Fourth Proportional to 1,178.64, 1,765.23 and 1,137.64

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Solution

The fourth proportional to 1,178.64, 1,765.23 and 1,137.64 is: 1,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.64 : 1,765.23 = 1,137.64 : x
  2. Step 2: Convert to fraction form
    1,178.64/1,765.23 = 1,137.64/x
  3. Step 3: Cross multiply
    1,178.64x = 1,765.23 × 1,137.64
  4. Step 4: Simplify right side
    1,178.64x = 2,008,181.74
  5. Step 5: Solve for x
    x = 2,008,181.74/1,178.64
  6. Step 6: Final answer
    x = 1,703.81

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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.