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Finding the Fourth Proportional to 480.83, 720.91 and 206.84

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Solution

The fourth proportional to 480.83, 720.91 and 206.84 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.83 : 720.91 = 206.84 : x
  2. Step 2: Convert to fraction form
    480.83/720.91 = 206.84/x
  3. Step 3: Cross multiply
    480.83x = 720.91 × 206.84
  4. Step 4: Simplify right side
    480.83x = 149,113.02
  5. Step 5: Solve for x
    x = 149,113.02/480.83
  6. Step 6: Final answer
    x = 310.12

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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.