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Finding the Fourth Proportional to 1,311.87, 1,967.69 and 399.87

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Solution

The fourth proportional to 1,311.87, 1,967.69 and 399.87 is: 599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.87 : 1,967.69 = 399.87 : x
  2. Step 2: Convert to fraction form
    1,311.87/1,967.69 = 399.87/x
  3. Step 3: Cross multiply
    1,311.87x = 1,967.69 × 399.87
  4. Step 4: Simplify right side
    1,311.87x = 786,818.20
  5. Step 5: Solve for x
    x = 786,818.20/1,311.87
  6. Step 6: Final answer
    x = 599.77

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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.