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Finding the Fourth Proportional to 671.66, 1,007.47 and 209.64

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Solution

The fourth proportional to 671.66, 1,007.47 and 209.64 is: 314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.66 : 1,007.47 = 209.64 : x
  2. Step 2: Convert to fraction form
    671.66/1,007.47 = 209.64/x
  3. Step 3: Cross multiply
    671.66x = 1,007.47 × 209.64
  4. Step 4: Simplify right side
    671.66x = 211,206.01
  5. Step 5: Solve for x
    x = 211,206.01/671.66
  6. Step 6: Final answer
    x = 314.45

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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.