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Finding the Fourth Proportional to 464.15, 639.15 and 401.87

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Solution

The fourth proportional to 464.15, 639.15 and 401.87 is: 553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.15 : 639.15 = 401.87 : x
  2. Step 2: Convert to fraction form
    464.15/639.15 = 401.87/x
  3. Step 3: Cross multiply
    464.15x = 639.15 × 401.87
  4. Step 4: Simplify right side
    464.15x = 256,855.21
  5. Step 5: Solve for x
    x = 256,855.21/464.15
  6. Step 6: Final answer
    x = 553.39

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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.