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Finding the Fourth Proportional to 447.75, 617.76 and 354.51

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Solution

The fourth proportional to 447.75, 617.76 and 354.51 is: 489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.75 : 617.76 = 354.51 : x
  2. Step 2: Convert to fraction form
    447.75/617.76 = 354.51/x
  3. Step 3: Cross multiply
    447.75x = 617.76 × 354.51
  4. Step 4: Simplify right side
    447.75x = 219,002.10
  5. Step 5: Solve for x
    x = 219,002.10/447.75
  6. Step 6: Final answer
    x = 489.12

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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.