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Finding the Fourth Proportional to 480.53, 662.73 and 340.65

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Solution

The fourth proportional to 480.53, 662.73 and 340.65 is: 469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.53 : 662.73 = 340.65 : x
  2. Step 2: Convert to fraction form
    480.53/662.73 = 340.65/x
  3. Step 3: Cross multiply
    480.53x = 662.73 × 340.65
  4. Step 4: Simplify right side
    480.53x = 225,758.97
  5. Step 5: Solve for x
    x = 225,758.97/480.53
  6. Step 6: Final answer
    x = 469.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.