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Finding the Fourth Proportional to 851.94, 1,278.32 and 412.97

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Solution

The fourth proportional to 851.94, 1,278.32 and 412.97 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.94 : 1,278.32 = 412.97 : x
  2. Step 2: Convert to fraction form
    851.94/1,278.32 = 412.97/x
  3. Step 3: Cross multiply
    851.94x = 1,278.32 × 412.97
  4. Step 4: Simplify right side
    851.94x = 527,899.35
  5. Step 5: Solve for x
    x = 527,899.35/851.94
  6. Step 6: Final answer
    x = 619.64

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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.