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Finding the Fourth Proportional to 417.48, 622.74 and 382.44

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Solution

The fourth proportional to 417.48, 622.74 and 382.44 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.48 : 622.74 = 382.44 : x
  2. Step 2: Convert to fraction form
    417.48/622.74 = 382.44/x
  3. Step 3: Cross multiply
    417.48x = 622.74 × 382.44
  4. Step 4: Simplify right side
    417.48x = 238,160.69
  5. Step 5: Solve for x
    x = 238,160.69/417.48
  6. Step 6: Final answer
    x = 570.47

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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.