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Finding the Fourth Proportional to 483.70, 721.81 and 467.92

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Solution

The fourth proportional to 483.70, 721.81 and 467.92 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.70 : 721.81 = 467.92 : x
  2. Step 2: Convert to fraction form
    483.70/721.81 = 467.92/x
  3. Step 3: Cross multiply
    483.70x = 721.81 × 467.92
  4. Step 4: Simplify right side
    483.70x = 337,747.00
  5. Step 5: Solve for x
    x = 337,747.00/483.70
  6. Step 6: Final answer
    x = 698.26

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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.