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Finding the Fourth Proportional to 469.11, 701.91 and 408.99

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Solution

The fourth proportional to 469.11, 701.91 and 408.99 is: 611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.11 : 701.91 = 408.99 : x
  2. Step 2: Convert to fraction form
    469.11/701.91 = 408.99/x
  3. Step 3: Cross multiply
    469.11x = 701.91 × 408.99
  4. Step 4: Simplify right side
    469.11x = 287,074.17
  5. Step 5: Solve for x
    x = 287,074.17/469.11
  6. Step 6: Final answer
    x = 611.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.