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Finding the Fourth Proportional to 676.12, 1,013.82 and 434.38

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Solution

The fourth proportional to 676.12, 1,013.82 and 434.38 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.12 : 1,013.82 = 434.38 : x
  2. Step 2: Convert to fraction form
    676.12/1,013.82 = 434.38/x
  3. Step 3: Cross multiply
    676.12x = 1,013.82 × 434.38
  4. Step 4: Simplify right side
    676.12x = 440,383.13
  5. Step 5: Solve for x
    x = 440,383.13/676.12
  6. Step 6: Final answer
    x = 651.34

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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.