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Finding the Fourth Proportional to 537.57, 806.73 and 277.77

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Solution

The fourth proportional to 537.57, 806.73 and 277.77 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.57 : 806.73 = 277.77 : x
  2. Step 2: Convert to fraction form
    537.57/806.73 = 277.77/x
  3. Step 3: Cross multiply
    537.57x = 806.73 × 277.77
  4. Step 4: Simplify right side
    537.57x = 224,085.39
  5. Step 5: Solve for x
    x = 224,085.39/537.57
  6. Step 6: Final answer
    x = 416.85

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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.