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Finding the Fourth Proportional to 453.44, 625.71 and 257

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Solution

The fourth proportional to 453.44, 625.71 and 257 is: 354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.44 : 625.71 = 257 : x
  2. Step 2: Convert to fraction form
    453.44/625.71 = 257/x
  3. Step 3: Cross multiply
    453.44x = 625.71 × 257
  4. Step 4: Simplify right side
    453.44x = 160,807.47
  5. Step 5: Solve for x
    x = 160,807.47/453.44
  6. Step 6: Final answer
    x = 354.64

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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.