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Finding the Fourth Proportional to 467.52, 704.22 and 438.72

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Solution

The fourth proportional to 467.52, 704.22 and 438.72 is: 660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.52 : 704.22 = 438.72 : x
  2. Step 2: Convert to fraction form
    467.52/704.22 = 438.72/x
  3. Step 3: Cross multiply
    467.52x = 704.22 × 438.72
  4. Step 4: Simplify right side
    467.52x = 308,955.40
  5. Step 5: Solve for x
    x = 308,955.40/467.52
  6. Step 6: Final answer
    x = 660.84

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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.