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Finding the Fourth Proportional to 464.94, 696.78 and 270

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Solution

The fourth proportional to 464.94, 696.78 and 270 is: 404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 696.78 = 270 : x
  2. Step 2: Convert to fraction form
    464.94/696.78 = 270/x
  3. Step 3: Cross multiply
    464.94x = 696.78 × 270
  4. Step 4: Simplify right side
    464.94x = 188,130.60
  5. Step 5: Solve for x
    x = 188,130.60/464.94
  6. Step 6: Final answer
    x = 404.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.