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Finding the Fourth Proportional to 483.14, 721.45 and 396.65

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Solution

The fourth proportional to 483.14, 721.45 and 396.65 is: 592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.14 : 721.45 = 396.65 : x
  2. Step 2: Convert to fraction form
    483.14/721.45 = 396.65/x
  3. Step 3: Cross multiply
    483.14x = 721.45 × 396.65
  4. Step 4: Simplify right side
    483.14x = 286,163.14
  5. Step 5: Solve for x
    x = 286,163.14/483.14
  6. Step 6: Final answer
    x = 592.30

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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.