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Finding the Fourth Proportional to 851.74, 1,277.55 and 418.78

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Solution

The fourth proportional to 851.74, 1,277.55 and 418.78 is: 628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.74 : 1,277.55 = 418.78 : x
  2. Step 2: Convert to fraction form
    851.74/1,277.55 = 418.78/x
  3. Step 3: Cross multiply
    851.74x = 1,277.55 × 418.78
  4. Step 4: Simplify right side
    851.74x = 535,012.39
  5. Step 5: Solve for x
    x = 535,012.39/851.74
  6. Step 6: Final answer
    x = 628.14

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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.