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Finding the Fourth Proportional to 441.46, 657.30 and 414.73

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Solution

The fourth proportional to 441.46, 657.30 and 414.73 is: 617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.46 : 657.30 = 414.73 : x
  2. Step 2: Convert to fraction form
    441.46/657.30 = 414.73/x
  3. Step 3: Cross multiply
    441.46x = 657.30 × 414.73
  4. Step 4: Simplify right side
    441.46x = 272,602.03
  5. Step 5: Solve for x
    x = 272,602.03/441.46
  6. Step 6: Final answer
    x = 617.50

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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.