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Finding the Fourth Proportional to 412.08, 567.75 and 345.43

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Solution

The fourth proportional to 412.08, 567.75 and 345.43 is: 475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.08 : 567.75 = 345.43 : x
  2. Step 2: Convert to fraction form
    412.08/567.75 = 345.43/x
  3. Step 3: Cross multiply
    412.08x = 567.75 × 345.43
  4. Step 4: Simplify right side
    412.08x = 196,117.88
  5. Step 5: Solve for x
    x = 196,117.88/412.08
  6. Step 6: Final answer
    x = 475.92

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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.