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Finding the Fourth Proportional to 515.72, 772.95 and 272.09

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Solution

The fourth proportional to 515.72, 772.95 and 272.09 is: 407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.72 : 772.95 = 272.09 : x
  2. Step 2: Convert to fraction form
    515.72/772.95 = 272.09/x
  3. Step 3: Cross multiply
    515.72x = 772.95 × 272.09
  4. Step 4: Simplify right side
    515.72x = 210,311.97
  5. Step 5: Solve for x
    x = 210,311.97/515.72
  6. Step 6: Final answer
    x = 407.80

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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.