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Finding the Fourth Proportional to 671.22, 1,007.55 and 564.18

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Solution

The fourth proportional to 671.22, 1,007.55 and 564.18 is: 846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.22 : 1,007.55 = 564.18 : x
  2. Step 2: Convert to fraction form
    671.22/1,007.55 = 564.18/x
  3. Step 3: Cross multiply
    671.22x = 1,007.55 × 564.18
  4. Step 4: Simplify right side
    671.22x = 568,439.56
  5. Step 5: Solve for x
    x = 568,439.56/671.22
  6. Step 6: Final answer
    x = 846.88

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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.