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Finding the Fourth Proportional to 671.88, 1,007.74 and 306.57

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Solution

The fourth proportional to 671.88, 1,007.74 and 306.57 is: 459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.88 : 1,007.74 = 306.57 : x
  2. Step 2: Convert to fraction form
    671.88/1,007.74 = 306.57/x
  3. Step 3: Cross multiply
    671.88x = 1,007.74 × 306.57
  4. Step 4: Simplify right side
    671.88x = 308,942.85
  5. Step 5: Solve for x
    x = 308,942.85/671.88
  6. Step 6: Final answer
    x = 459.82

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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.