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Finding the Fourth Proportional to 612.09, 918.89 and 447.56

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Solution

The fourth proportional to 612.09, 918.89 and 447.56 is: 671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.09 : 918.89 = 447.56 : x
  2. Step 2: Convert to fraction form
    612.09/918.89 = 447.56/x
  3. Step 3: Cross multiply
    612.09x = 918.89 × 447.56
  4. Step 4: Simplify right side
    612.09x = 411,257.23
  5. Step 5: Solve for x
    x = 411,257.23/612.09
  6. Step 6: Final answer
    x = 671.89

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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.