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Finding the Fourth Proportional to 457.59, 635.70 and 453.32

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Solution

The fourth proportional to 457.59, 635.70 and 453.32 is: 629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.59 : 635.70 = 453.32 : x
  2. Step 2: Convert to fraction form
    457.59/635.70 = 453.32/x
  3. Step 3: Cross multiply
    457.59x = 635.70 × 453.32
  4. Step 4: Simplify right side
    457.59x = 288,175.52
  5. Step 5: Solve for x
    x = 288,175.52/457.59
  6. Step 6: Final answer
    x = 629.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.