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Finding the Fourth Proportional to 481.80, 717.57 and 464.79

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Solution

The fourth proportional to 481.80, 717.57 and 464.79 is: 692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.80 : 717.57 = 464.79 : x
  2. Step 2: Convert to fraction form
    481.80/717.57 = 464.79/x
  3. Step 3: Cross multiply
    481.80x = 717.57 × 464.79
  4. Step 4: Simplify right side
    481.80x = 333,519.36
  5. Step 5: Solve for x
    x = 333,519.36/481.80
  6. Step 6: Final answer
    x = 692.24

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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.