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Finding the Fourth Proportional to 417.07, 622.76 and 401.68

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Solution

The fourth proportional to 417.07, 622.76 and 401.68 is: 599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.07 : 622.76 = 401.68 : x
  2. Step 2: Convert to fraction form
    417.07/622.76 = 401.68/x
  3. Step 3: Cross multiply
    417.07x = 622.76 × 401.68
  4. Step 4: Simplify right side
    417.07x = 250,150.24
  5. Step 5: Solve for x
    x = 250,150.24/417.07
  6. Step 6: Final answer
    x = 599.78

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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.