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Finding the Fourth Proportional to 671.23, 1,006.78 and 209.01

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Solution

The fourth proportional to 671.23, 1,006.78 and 209.01 is: 313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.23 : 1,006.78 = 209.01 : x
  2. Step 2: Convert to fraction form
    671.23/1,006.78 = 209.01/x
  3. Step 3: Cross multiply
    671.23x = 1,006.78 × 209.01
  4. Step 4: Simplify right side
    671.23x = 210,427.09
  5. Step 5: Solve for x
    x = 210,427.09/671.23
  6. Step 6: Final answer
    x = 313.49

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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.