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Finding the Fourth Proportional to 453.56, 625.89 and 257.13

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Solution

The fourth proportional to 453.56, 625.89 and 257.13 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.56 : 625.89 = 257.13 : x
  2. Step 2: Convert to fraction form
    453.56/625.89 = 257.13/x
  3. Step 3: Cross multiply
    453.56x = 625.89 × 257.13
  4. Step 4: Simplify right side
    453.56x = 160,935.74
  5. Step 5: Solve for x
    x = 160,935.74/453.56
  6. Step 6: Final answer
    x = 354.83

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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.