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Finding the Fourth Proportional to 447.47, 617.14 and 315.12

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Solution

The fourth proportional to 447.47, 617.14 and 315.12 is: 434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.47 : 617.14 = 315.12 : x
  2. Step 2: Convert to fraction form
    447.47/617.14 = 315.12/x
  3. Step 3: Cross multiply
    447.47x = 617.14 × 315.12
  4. Step 4: Simplify right side
    447.47x = 194,474.09
  5. Step 5: Solve for x
    x = 194,474.09/447.47
  6. Step 6: Final answer
    x = 434.61

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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.