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Finding the Fourth Proportional to 2,311.58, 3,467.00 and 645.75

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Solution

The fourth proportional to 2,311.58, 3,467.00 and 645.75 is: 968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.58 : 3,467.00 = 645.75 : x
  2. Step 2: Convert to fraction form
    2,311.58/3,467.00 = 645.75/x
  3. Step 3: Cross multiply
    2,311.58x = 3,467.00 × 645.75
  4. Step 4: Simplify right side
    2,311.58x = 2,238,816.86
  5. Step 5: Solve for x
    x = 2,238,816.86/2,311.58
  6. Step 6: Final answer
    x = 968.52

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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.