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Finding the Fourth Proportional to 471.12, 645.62 and 425.04

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Solution

The fourth proportional to 471.12, 645.62 and 425.04 is: 582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.12 : 645.62 = 425.04 : x
  2. Step 2: Convert to fraction form
    471.12/645.62 = 425.04/x
  3. Step 3: Cross multiply
    471.12x = 645.62 × 425.04
  4. Step 4: Simplify right side
    471.12x = 274,414.32
  5. Step 5: Solve for x
    x = 274,414.32/471.12
  6. Step 6: Final answer
    x = 582.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.