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Finding the Fourth Proportional to 464.19, 639.08 and 405.94

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Solution

The fourth proportional to 464.19, 639.08 and 405.94 is: 558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.19 : 639.08 = 405.94 : x
  2. Step 2: Convert to fraction form
    464.19/639.08 = 405.94/x
  3. Step 3: Cross multiply
    464.19x = 639.08 × 405.94
  4. Step 4: Simplify right side
    464.19x = 259,426.11
  5. Step 5: Solve for x
    x = 259,426.11/464.19
  6. Step 6: Final answer
    x = 558.88

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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.