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Finding the Fourth Proportional to 447.32, 665.30 and 438.10

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Solution

The fourth proportional to 447.32, 665.30 and 438.10 is: 651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.32 : 665.30 = 438.10 : x
  2. Step 2: Convert to fraction form
    447.32/665.30 = 438.10/x
  3. Step 3: Cross multiply
    447.32x = 665.30 × 438.10
  4. Step 4: Simplify right side
    447.32x = 291,467.93
  5. Step 5: Solve for x
    x = 291,467.93/447.32
  6. Step 6: Final answer
    x = 651.59

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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.