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Finding the Fourth Proportional to 667.01, 919.77 and 446.01

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Solution

The fourth proportional to 667.01, 919.77 and 446.01 is: 615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.01 : 919.77 = 446.01 : x
  2. Step 2: Convert to fraction form
    667.01/919.77 = 446.01/x
  3. Step 3: Cross multiply
    667.01x = 919.77 × 446.01
  4. Step 4: Simplify right side
    667.01x = 410,226.62
  5. Step 5: Solve for x
    x = 410,226.62/667.01
  6. Step 6: Final answer
    x = 615.02

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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.