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Finding the Fourth Proportional to 483.20, 725.43 and 397.74

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Solution

The fourth proportional to 483.20, 725.43 and 397.74 is: 597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.20 : 725.43 = 397.74 : x
  2. Step 2: Convert to fraction form
    483.20/725.43 = 397.74/x
  3. Step 3: Cross multiply
    483.20x = 725.43 × 397.74
  4. Step 4: Simplify right side
    483.20x = 288,532.53
  5. Step 5: Solve for x
    x = 288,532.53/483.20
  6. Step 6: Final answer
    x = 597.13

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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.