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Finding the Fourth Proportional to 851.59, 1,276.53 and 412.21

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Solution

The fourth proportional to 851.59, 1,276.53 and 412.21 is: 617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.59 : 1,276.53 = 412.21 : x
  2. Step 2: Convert to fraction form
    851.59/1,276.53 = 412.21/x
  3. Step 3: Cross multiply
    851.59x = 1,276.53 × 412.21
  4. Step 4: Simplify right side
    851.59x = 526,198.43
  5. Step 5: Solve for x
    x = 526,198.43/851.59
  6. Step 6: Final answer
    x = 617.90

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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.