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Finding the Fourth Proportional to 467.43, 704.58 and 438.81

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Solution

The fourth proportional to 467.43, 704.58 and 438.81 is: 661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.43 : 704.58 = 438.81 : x
  2. Step 2: Convert to fraction form
    467.43/704.58 = 438.81/x
  3. Step 3: Cross multiply
    467.43x = 704.58 × 438.81
  4. Step 4: Simplify right side
    467.43x = 309,176.75
  5. Step 5: Solve for x
    x = 309,176.75/467.43
  6. Step 6: Final answer
    x = 661.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.