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Finding the Fourth Proportional to 667.72, 919.11 and 588.75

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Solution

The fourth proportional to 667.72, 919.11 and 588.75 is: 810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.72 : 919.11 = 588.75 : x
  2. Step 2: Convert to fraction form
    667.72/919.11 = 588.75/x
  3. Step 3: Cross multiply
    667.72x = 919.11 × 588.75
  4. Step 4: Simplify right side
    667.72x = 541,126.01
  5. Step 5: Solve for x
    x = 541,126.01/667.72
  6. Step 6: Final answer
    x = 810.41

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1.5x scale

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.