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Finding the Fourth Proportional to 464.24, 639.36 and 402.05

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Solution

The fourth proportional to 464.24, 639.36 and 402.05 is: 553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 639.36 = 402.05 : x
  2. Step 2: Convert to fraction form
    464.24/639.36 = 402.05/x
  3. Step 3: Cross multiply
    464.24x = 639.36 × 402.05
  4. Step 4: Simplify right side
    464.24x = 257,051.49
  5. Step 5: Solve for x
    x = 257,051.49/464.24
  6. Step 6: Final answer
    x = 553.71

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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.