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Finding the Fourth Proportional to 441.13, 657.03 and 418.00

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Solution

The fourth proportional to 441.13, 657.03 and 418.00 is: 622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.13 : 657.03 = 418.00 : x
  2. Step 2: Convert to fraction form
    441.13/657.03 = 418.00/x
  3. Step 3: Cross multiply
    441.13x = 657.03 × 418.00
  4. Step 4: Simplify right side
    441.13x = 274,634.21
  5. Step 5: Solve for x
    x = 274,634.21/441.13
  6. Step 6: Final answer
    x = 622.58

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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.