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Finding the Fourth Proportional to 676.84, 929.21 and 610.96

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Solution

The fourth proportional to 676.84, 929.21 and 610.96 is: 838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.84 : 929.21 = 610.96 : x
  2. Step 2: Convert to fraction form
    676.84/929.21 = 610.96/x
  3. Step 3: Cross multiply
    676.84x = 929.21 × 610.96
  4. Step 4: Simplify right side
    676.84x = 567,710.14
  5. Step 5: Solve for x
    x = 567,710.14/676.84
  6. Step 6: Final answer
    x = 838.77

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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.