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Finding the Fourth Proportional to 467.28, 639.70 and 464.08

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Solution

The fourth proportional to 467.28, 639.70 and 464.08 is: 635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.28 : 639.70 = 464.08 : x
  2. Step 2: Convert to fraction form
    467.28/639.70 = 464.08/x
  3. Step 3: Cross multiply
    467.28x = 639.70 × 464.08
  4. Step 4: Simplify right side
    467.28x = 296,871.98
  5. Step 5: Solve for x
    x = 296,871.98/467.28
  6. Step 6: Final answer
    x = 635.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.