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Finding the Fourth Proportional to 466.56, 641.52 and 419.58

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Solution

The fourth proportional to 466.56, 641.52 and 419.58 is: 576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.56 : 641.52 = 419.58 : x
  2. Step 2: Convert to fraction form
    466.56/641.52 = 419.58/x
  3. Step 3: Cross multiply
    466.56x = 641.52 × 419.58
  4. Step 4: Simplify right side
    466.56x = 269,168.96
  5. Step 5: Solve for x
    x = 269,168.96/466.56
  6. Step 6: Final answer
    x = 576.92

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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.