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Finding the Fourth Proportional to 671.34, 1,002.20 and 648.54

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Solution

The fourth proportional to 671.34, 1,002.20 and 648.54 is: 968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.34 : 1,002.20 = 648.54 : x
  2. Step 2: Convert to fraction form
    671.34/1,002.20 = 648.54/x
  3. Step 3: Cross multiply
    671.34x = 1,002.20 × 648.54
  4. Step 4: Simplify right side
    671.34x = 649,963.55
  5. Step 5: Solve for x
    x = 649,963.55/671.34
  6. Step 6: Final answer
    x = 968.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.