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Finding the Fourth Proportional to 447.31, 670.98 and 317.89

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Solution

The fourth proportional to 447.31, 670.98 and 317.89 is: 476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.31 : 670.98 = 317.89 : x
  2. Step 2: Convert to fraction form
    447.31/670.98 = 317.89/x
  3. Step 3: Cross multiply
    447.31x = 670.98 × 317.89
  4. Step 4: Simplify right side
    447.31x = 213,297.83
  5. Step 5: Solve for x
    x = 213,297.83/447.31
  6. Step 6: Final answer
    x = 476.85

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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.