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Finding the Fourth Proportional to 511.77, 766.97 and 280.05

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Solution

The fourth proportional to 511.77, 766.97 and 280.05 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.77 : 766.97 = 280.05 : x
  2. Step 2: Convert to fraction form
    511.77/766.97 = 280.05/x
  3. Step 3: Cross multiply
    511.77x = 766.97 × 280.05
  4. Step 4: Simplify right side
    511.77x = 214,788.55
  5. Step 5: Solve for x
    x = 214,788.55/511.77
  6. Step 6: Final answer
    x = 419.70

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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.