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Finding the Fourth Proportional to 453.29, 625.79 and 298.49

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Solution

The fourth proportional to 453.29, 625.79 and 298.49 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.29 : 625.79 = 298.49 : x
  2. Step 2: Convert to fraction form
    453.29/625.79 = 298.49/x
  3. Step 3: Cross multiply
    453.29x = 625.79 × 298.49
  4. Step 4: Simplify right side
    453.29x = 186,789.67
  5. Step 5: Solve for x
    x = 186,789.67/453.29
  6. Step 6: Final answer
    x = 412.08

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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.