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Finding the Fourth Proportional to 671.98, 1,007.98 and 325.24

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Solution

The fourth proportional to 671.98, 1,007.98 and 325.24 is: 487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.98 : 1,007.98 = 325.24 : x
  2. Step 2: Convert to fraction form
    671.98/1,007.98 = 325.24/x
  3. Step 3: Cross multiply
    671.98x = 1,007.98 × 325.24
  4. Step 4: Simplify right side
    671.98x = 327,835.42
  5. Step 5: Solve for x
    x = 327,835.42/671.98
  6. Step 6: Final answer
    x = 487.86

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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.