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Finding the Fourth Proportional to 457.45, 634.43 and 451.98

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Solution

The fourth proportional to 457.45, 634.43 and 451.98 is: 626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.45 : 634.43 = 451.98 : x
  2. Step 2: Convert to fraction form
    457.45/634.43 = 451.98/x
  3. Step 3: Cross multiply
    457.45x = 634.43 × 451.98
  4. Step 4: Simplify right side
    457.45x = 286,750.80
  5. Step 5: Solve for x
    x = 286,750.80/457.45
  6. Step 6: Final answer
    x = 626.85

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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.