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Finding the Fourth Proportional to 457.46, 635.54 and 451.99

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Solution

The fourth proportional to 457.46, 635.54 and 451.99 is: 627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.46 : 635.54 = 451.99 : x
  2. Step 2: Convert to fraction form
    457.46/635.54 = 451.99/x
  3. Step 3: Cross multiply
    457.46x = 635.54 × 451.99
  4. Step 4: Simplify right side
    457.46x = 287,254.55
  5. Step 5: Solve for x
    x = 287,254.55/457.46
  6. Step 6: Final answer
    x = 627.94

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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.