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Finding the Fourth Proportional to 610.45, 843.38 and 400.55

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Solution

The fourth proportional to 610.45, 843.38 and 400.55 is: 553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.45 : 843.38 = 400.55 : x
  2. Step 2: Convert to fraction form
    610.45/843.38 = 400.55/x
  3. Step 3: Cross multiply
    610.45x = 843.38 × 400.55
  4. Step 4: Simplify right side
    610.45x = 337,815.86
  5. Step 5: Solve for x
    x = 337,815.86/610.45
  6. Step 6: Final answer
    x = 553.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.