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Finding the Fourth Proportional to 453.64, 677.17 and 398.97

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Solution

The fourth proportional to 453.64, 677.17 and 398.97 is: 595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.64 : 677.17 = 398.97 : x
  2. Step 2: Convert to fraction form
    453.64/677.17 = 398.97/x
  3. Step 3: Cross multiply
    453.64x = 677.17 × 398.97
  4. Step 4: Simplify right side
    453.64x = 270,170.51
  5. Step 5: Solve for x
    x = 270,170.51/453.64
  6. Step 6: Final answer
    x = 595.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.