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Finding the Fourth Proportional to 632.98, 949.70 and 451.79

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Solution

The fourth proportional to 632.98, 949.70 and 451.79 is: 677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.98 : 949.70 = 451.79 : x
  2. Step 2: Convert to fraction form
    632.98/949.70 = 451.79/x
  3. Step 3: Cross multiply
    632.98x = 949.70 × 451.79
  4. Step 4: Simplify right side
    632.98x = 429,065.08
  5. Step 5: Solve for x
    x = 429,065.08/632.98
  6. Step 6: Final answer
    x = 677.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.