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Finding the Fourth Proportional to 417.93, 622.14 and 398.03

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Solution

The fourth proportional to 417.93, 622.14 and 398.03 is: 592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.93 : 622.14 = 398.03 : x
  2. Step 2: Convert to fraction form
    417.93/622.14 = 398.03/x
  3. Step 3: Cross multiply
    417.93x = 622.14 × 398.03
  4. Step 4: Simplify right side
    417.93x = 247,625.78
  5. Step 5: Solve for x
    x = 247,625.78/417.93
  6. Step 6: Final answer
    x = 592.51

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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.