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Finding the Fourth Proportional to 671.51, 1,006.76 and 427.57

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Solution

The fourth proportional to 671.51, 1,006.76 and 427.57 is: 641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.51 : 1,006.76 = 427.57 : x
  2. Step 2: Convert to fraction form
    671.51/1,006.76 = 427.57/x
  3. Step 3: Cross multiply
    671.51x = 1,006.76 × 427.57
  4. Step 4: Simplify right side
    671.51x = 430,458.93
  5. Step 5: Solve for x
    x = 430,458.93/671.51
  6. Step 6: Final answer
    x = 641.03

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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.