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Finding the Fourth Proportional to 671.25, 926.60 and 423.12

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Solution

The fourth proportional to 671.25, 926.60 and 423.12 is: 584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.25 : 926.60 = 423.12 : x
  2. Step 2: Convert to fraction form
    671.25/926.60 = 423.12/x
  3. Step 3: Cross multiply
    671.25x = 926.60 × 423.12
  4. Step 4: Simplify right side
    671.25x = 392,060.88
  5. Step 5: Solve for x
    x = 392,060.88/671.25
  6. Step 6: Final answer
    x = 584.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.