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Finding the Fourth Proportional to 851.00, 1,278.95 and 418.46

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Solution

The fourth proportional to 851.00, 1,278.95 and 418.46 is: 628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.00 : 1,278.95 = 418.46 : x
  2. Step 2: Convert to fraction form
    851.00/1,278.95 = 418.46/x
  3. Step 3: Cross multiply
    851.00x = 1,278.95 × 418.46
  4. Step 4: Simplify right side
    851.00x = 535,180.93
  5. Step 5: Solve for x
    x = 535,180.93/851.00
  6. Step 6: Final answer
    x = 628.89

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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.