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Finding the Fourth Proportional to 682.48, 1,022.50 and 414.85

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Solution

The fourth proportional to 682.48, 1,022.50 and 414.85 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.48 : 1,022.50 = 414.85 : x
  2. Step 2: Convert to fraction form
    682.48/1,022.50 = 414.85/x
  3. Step 3: Cross multiply
    682.48x = 1,022.50 × 414.85
  4. Step 4: Simplify right side
    682.48x = 424,185.64
  5. Step 5: Solve for x
    x = 424,185.64/682.48
  6. Step 6: Final answer
    x = 621.54

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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.