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Finding the Fourth Proportional to 450.12, 619.74 and 406.92

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Solution

The fourth proportional to 450.12, 619.74 and 406.92 is: 560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.12 : 619.74 = 406.92 : x
  2. Step 2: Convert to fraction form
    450.12/619.74 = 406.92/x
  3. Step 3: Cross multiply
    450.12x = 619.74 × 406.92
  4. Step 4: Simplify right side
    450.12x = 252,184.60
  5. Step 5: Solve for x
    x = 252,184.60/450.12
  6. Step 6: Final answer
    x = 560.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.