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Finding the Fourth Proportional to 671.21, 1,007.42 and 597.57

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Solution

The fourth proportional to 671.21, 1,007.42 and 597.57 is: 896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.21 : 1,007.42 = 597.57 : x
  2. Step 2: Convert to fraction form
    671.21/1,007.42 = 597.57/x
  3. Step 3: Cross multiply
    671.21x = 1,007.42 × 597.57
  4. Step 4: Simplify right side
    671.21x = 602,003.97
  5. Step 5: Solve for x
    x = 602,003.97/671.21
  6. Step 6: Final answer
    x = 896.89

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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.