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Finding the Fourth Proportional to 667.86, 919.73 and 665.84

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Solution

The fourth proportional to 667.86, 919.73 and 665.84 is: 916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.86 : 919.73 = 665.84 : x
  2. Step 2: Convert to fraction form
    667.86/919.73 = 665.84/x
  3. Step 3: Cross multiply
    667.86x = 919.73 × 665.84
  4. Step 4: Simplify right side
    667.86x = 612,385.10
  5. Step 5: Solve for x
    x = 612,385.10/667.86
  6. Step 6: Final answer
    x = 916.94

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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.