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Finding the Fourth Proportional to 851.45, 1,277.55 and 505.46

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Solution

The fourth proportional to 851.45, 1,277.55 and 505.46 is: 758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.45 : 1,277.55 = 505.46 : x
  2. Step 2: Convert to fraction form
    851.45/1,277.55 = 505.46/x
  3. Step 3: Cross multiply
    851.45x = 1,277.55 × 505.46
  4. Step 4: Simplify right side
    851.45x = 645,753.62
  5. Step 5: Solve for x
    x = 645,753.62/851.45
  6. Step 6: Final answer
    x = 758.42

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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.