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Finding the Fourth Proportional to 417.56, 622.84 and 382.17

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Solution

The fourth proportional to 417.56, 622.84 and 382.17 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 622.84 = 382.17 : x
  2. Step 2: Convert to fraction form
    417.56/622.84 = 382.17/x
  3. Step 3: Cross multiply
    417.56x = 622.84 × 382.17
  4. Step 4: Simplify right side
    417.56x = 238,029.36
  5. Step 5: Solve for x
    x = 238,029.36/417.56
  6. Step 6: Final answer
    x = 570.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.