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Finding the Fourth Proportional to 481.42, 716.43 and 464.14

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Solution

The fourth proportional to 481.42, 716.43 and 464.14 is: 690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.42 : 716.43 = 464.14 : x
  2. Step 2: Convert to fraction form
    481.42/716.43 = 464.14/x
  3. Step 3: Cross multiply
    481.42x = 716.43 × 464.14
  4. Step 4: Simplify right side
    481.42x = 332,523.82
  5. Step 5: Solve for x
    x = 332,523.82/481.42
  6. Step 6: Final answer
    x = 690.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.