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Finding the Fourth Proportional to 1,311.02, 1,965.11 and 581.12

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Solution

The fourth proportional to 1,311.02, 1,965.11 and 581.12 is: 871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.02 : 1,965.11 = 581.12 : x
  2. Step 2: Convert to fraction form
    1,311.02/1,965.11 = 581.12/x
  3. Step 3: Cross multiply
    1,311.02x = 1,965.11 × 581.12
  4. Step 4: Simplify right side
    1,311.02x = 1,141,964.72
  5. Step 5: Solve for x
    x = 1,141,964.72/1,311.02
  6. Step 6: Final answer
    x = 871.05

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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.