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Finding the Fourth Proportional to 667.35, 1,000.78 and 277.33

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Solution

The fourth proportional to 667.35, 1,000.78 and 277.33 is: 415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.35 : 1,000.78 = 277.33 : x
  2. Step 2: Convert to fraction form
    667.35/1,000.78 = 277.33/x
  3. Step 3: Cross multiply
    667.35x = 1,000.78 × 277.33
  4. Step 4: Simplify right side
    667.35x = 277,546.32
  5. Step 5: Solve for x
    x = 277,546.32/667.35
  6. Step 6: Final answer
    x = 415.89

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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.