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Finding the Fourth Proportional to 483.72, 720.69 and 459.24

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Solution

The fourth proportional to 483.72, 720.69 and 459.24 is: 684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.72 : 720.69 = 459.24 : x
  2. Step 2: Convert to fraction form
    483.72/720.69 = 459.24/x
  3. Step 3: Cross multiply
    483.72x = 720.69 × 459.24
  4. Step 4: Simplify right side
    483.72x = 330,969.68
  5. Step 5: Solve for x
    x = 330,969.68/483.72
  6. Step 6: Final answer
    x = 684.22

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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.