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Finding the Fourth Proportional to 464.39, 639.21 and 459.26

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Solution

The fourth proportional to 464.39, 639.21 and 459.26 is: 632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.39 : 639.21 = 459.26 : x
  2. Step 2: Convert to fraction form
    464.39/639.21 = 459.26/x
  3. Step 3: Cross multiply
    464.39x = 639.21 × 459.26
  4. Step 4: Simplify right side
    464.39x = 293,560.39
  5. Step 5: Solve for x
    x = 293,560.39/464.39
  6. Step 6: Final answer
    x = 632.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.