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Finding the Fourth Proportional to 443.64, 611.98 and 412.37

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Solution

The fourth proportional to 443.64, 611.98 and 412.37 is: 568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 611.98 = 412.37 : x
  2. Step 2: Convert to fraction form
    443.64/611.98 = 412.37/x
  3. Step 3: Cross multiply
    443.64x = 611.98 × 412.37
  4. Step 4: Simplify right side
    443.64x = 252,358.10
  5. Step 5: Solve for x
    x = 252,358.10/443.64
  6. Step 6: Final answer
    x = 568.84

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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.