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Finding the Fourth Proportional to 671.72, 1,007.70 and 209.42

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Solution

The fourth proportional to 671.72, 1,007.70 and 209.42 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.72 : 1,007.70 = 209.42 : x
  2. Step 2: Convert to fraction form
    671.72/1,007.70 = 209.42/x
  3. Step 3: Cross multiply
    671.72x = 1,007.70 × 209.42
  4. Step 4: Simplify right side
    671.72x = 211,032.53
  5. Step 5: Solve for x
    x = 211,032.53/671.72
  6. Step 6: Final answer
    x = 314.17

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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.