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Finding the Fourth Proportional to 447.07, 664.93 and 437.85

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Solution

The fourth proportional to 447.07, 664.93 and 437.85 is: 651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.07 : 664.93 = 437.85 : x
  2. Step 2: Convert to fraction form
    447.07/664.93 = 437.85/x
  3. Step 3: Cross multiply
    447.07x = 664.93 × 437.85
  4. Step 4: Simplify right side
    447.07x = 291,139.60
  5. Step 5: Solve for x
    x = 291,139.60/447.07
  6. Step 6: Final answer
    x = 651.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.