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Finding the Fourth Proportional to 414.51, 568.70 and 403.73

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Solution

The fourth proportional to 414.51, 568.70 and 403.73 is: 553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.51 : 568.70 = 403.73 : x
  2. Step 2: Convert to fraction form
    414.51/568.70 = 403.73/x
  3. Step 3: Cross multiply
    414.51x = 568.70 × 403.73
  4. Step 4: Simplify right side
    414.51x = 229,601.25
  5. Step 5: Solve for x
    x = 229,601.25/414.51
  6. Step 6: Final answer
    x = 553.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.