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Finding the Fourth Proportional to 483.40, 726.90 and 404.20

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Solution

The fourth proportional to 483.40, 726.90 and 404.20 is: 607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.40 : 726.90 = 404.20 : x
  2. Step 2: Convert to fraction form
    483.40/726.90 = 404.20/x
  3. Step 3: Cross multiply
    483.40x = 726.90 × 404.20
  4. Step 4: Simplify right side
    483.40x = 293,812.98
  5. Step 5: Solve for x
    x = 293,812.98/483.40
  6. Step 6: Final answer
    x = 607.81

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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.