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Finding the Fourth Proportional to 483.98, 725.96 and 415.94

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Solution

The fourth proportional to 483.98, 725.96 and 415.94 is: 623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.98 : 725.96 = 415.94 : x
  2. Step 2: Convert to fraction form
    483.98/725.96 = 415.94/x
  3. Step 3: Cross multiply
    483.98x = 725.96 × 415.94
  4. Step 4: Simplify right side
    483.98x = 301,955.80
  5. Step 5: Solve for x
    x = 301,955.80/483.98
  6. Step 6: Final answer
    x = 623.90

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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.