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Finding the Fourth Proportional to 441.13, 657.18 and 420.49

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Solution

The fourth proportional to 441.13, 657.18 and 420.49 is: 626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.13 : 657.18 = 420.49 : x
  2. Step 2: Convert to fraction form
    441.13/657.18 = 420.49/x
  3. Step 3: Cross multiply
    441.13x = 657.18 × 420.49
  4. Step 4: Simplify right side
    441.13x = 276,337.62
  5. Step 5: Solve for x
    x = 276,337.62/441.13
  6. Step 6: Final answer
    x = 626.43

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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.