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Finding the Fourth Proportional to 412.19, 617.66 and 381.81

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Solution

The fourth proportional to 412.19, 617.66 and 381.81 is: 572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.19 : 617.66 = 381.81 : x
  2. Step 2: Convert to fraction form
    412.19/617.66 = 381.81/x
  3. Step 3: Cross multiply
    412.19x = 617.66 × 381.81
  4. Step 4: Simplify right side
    412.19x = 235,828.76
  5. Step 5: Solve for x
    x = 235,828.76/412.19
  6. Step 6: Final answer
    x = 572.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.