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Finding the Fourth Proportional to 667.88, 919.49 and 580.52

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Solution

The fourth proportional to 667.88, 919.49 and 580.52 is: 799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.88 : 919.49 = 580.52 : x
  2. Step 2: Convert to fraction form
    667.88/919.49 = 580.52/x
  3. Step 3: Cross multiply
    667.88x = 919.49 × 580.52
  4. Step 4: Simplify right side
    667.88x = 533,774.83
  5. Step 5: Solve for x
    x = 533,774.83/667.88
  6. Step 6: Final answer
    x = 799.21

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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.