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Finding the Fourth Proportional to 433.12, 647.12 and 412.96

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Solution

The fourth proportional to 433.12, 647.12 and 412.96 is: 617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.12 : 647.12 = 412.96 : x
  2. Step 2: Convert to fraction form
    433.12/647.12 = 412.96/x
  3. Step 3: Cross multiply
    433.12x = 647.12 × 412.96
  4. Step 4: Simplify right side
    433.12x = 267,234.68
  5. Step 5: Solve for x
    x = 267,234.68/433.12
  6. Step 6: Final answer
    x = 617.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.