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Finding the Fourth Proportional to 667.60, 919.38 and 543.04

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Solution

The fourth proportional to 667.60, 919.38 and 543.04 is: 747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.60 : 919.38 = 543.04 : x
  2. Step 2: Convert to fraction form
    667.60/919.38 = 543.04/x
  3. Step 3: Cross multiply
    667.60x = 919.38 × 543.04
  4. Step 4: Simplify right side
    667.60x = 499,260.12
  5. Step 5: Solve for x
    x = 499,260.12/667.60
  6. Step 6: Final answer
    x = 747.84

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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.