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Finding the Fourth Proportional to 676.56, 928.68 and 601.23

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Solution

The fourth proportional to 676.56, 928.68 and 601.23 is: 825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.56 : 928.68 = 601.23 : x
  2. Step 2: Convert to fraction form
    676.56/928.68 = 601.23/x
  3. Step 3: Cross multiply
    676.56x = 928.68 × 601.23
  4. Step 4: Simplify right side
    676.56x = 558,350.28
  5. Step 5: Solve for x
    x = 558,350.28/676.56
  6. Step 6: Final answer
    x = 825.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.