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Finding the Fourth Proportional to 469.38, 645.34 and 419.12

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Solution

The fourth proportional to 469.38, 645.34 and 419.12 is: 576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.38 : 645.34 = 419.12 : x
  2. Step 2: Convert to fraction form
    469.38/645.34 = 419.12/x
  3. Step 3: Cross multiply
    469.38x = 645.34 × 419.12
  4. Step 4: Simplify right side
    469.38x = 270,474.90
  5. Step 5: Solve for x
    x = 270,474.90/469.38
  6. Step 6: Final answer
    x = 576.24

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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.