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Finding the Fourth Proportional to 1,311.89, 1,967.00 and 618.75

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Solution

The fourth proportional to 1,311.89, 1,967.00 and 618.75 is: 927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.89 : 1,967.00 = 618.75 : x
  2. Step 2: Convert to fraction form
    1,311.89/1,967.00 = 618.75/x
  3. Step 3: Cross multiply
    1,311.89x = 1,967.00 × 618.75
  4. Step 4: Simplify right side
    1,311.89x = 1,217,078.16
  5. Step 5: Solve for x
    x = 1,217,078.16/1,311.89
  6. Step 6: Final answer
    x = 927.73

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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.