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Finding the Fourth Proportional to 671.94, 1,007.77 and 209.64

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Solution

The fourth proportional to 671.94, 1,007.77 and 209.64 is: 314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.94 : 1,007.77 = 209.64 : x
  2. Step 2: Convert to fraction form
    671.94/1,007.77 = 209.64/x
  3. Step 3: Cross multiply
    671.94x = 1,007.77 × 209.64
  4. Step 4: Simplify right side
    671.94x = 211,268.90
  5. Step 5: Solve for x
    x = 211,268.90/671.94
  6. Step 6: Final answer
    x = 314.42

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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.