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Finding the Fourth Proportional to 453.69, 626.41 and 400.83

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Solution

The fourth proportional to 453.69, 626.41 and 400.83 is: 553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 626.41 = 400.83 : x
  2. Step 2: Convert to fraction form
    453.69/626.41 = 400.83/x
  3. Step 3: Cross multiply
    453.69x = 626.41 × 400.83
  4. Step 4: Simplify right side
    453.69x = 251,078.78
  5. Step 5: Solve for x
    x = 251,078.78/453.69
  6. Step 6: Final answer
    x = 553.42

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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.