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Finding the Fourth Proportional to 671.78, 1,007.60 and 301.72

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Solution

The fourth proportional to 671.78, 1,007.60 and 301.72 is: 452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.78 : 1,007.60 = 301.72 : x
  2. Step 2: Convert to fraction form
    671.78/1,007.60 = 301.72/x
  3. Step 3: Cross multiply
    671.78x = 1,007.60 × 301.72
  4. Step 4: Simplify right side
    671.78x = 304,013.07
  5. Step 5: Solve for x
    x = 304,013.07/671.78
  6. Step 6: Final answer
    x = 452.55

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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.