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Finding the Fourth Proportional to 667.57, 919.06 and 580.20

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Solution

The fourth proportional to 667.57, 919.06 and 580.20 is: 798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.57 : 919.06 = 580.20 : x
  2. Step 2: Convert to fraction form
    667.57/919.06 = 580.20/x
  3. Step 3: Cross multiply
    667.57x = 919.06 × 580.20
  4. Step 4: Simplify right side
    667.57x = 533,238.61
  5. Step 5: Solve for x
    x = 533,238.61/667.57
  6. Step 6: Final answer
    x = 798.78

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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.