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Finding the Fourth Proportional to 851.28, 1,276.73 and 412.52

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Solution

The fourth proportional to 851.28, 1,276.73 and 412.52 is: 618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.28 : 1,276.73 = 412.52 : x
  2. Step 2: Convert to fraction form
    851.28/1,276.73 = 412.52/x
  3. Step 3: Cross multiply
    851.28x = 1,276.73 × 412.52
  4. Step 4: Simplify right side
    851.28x = 526,668.21
  5. Step 5: Solve for x
    x = 526,668.21/851.28
  6. Step 6: Final answer
    x = 618.68

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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.