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Finding the Fourth Proportional to 464.68, 640.74 and 361

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Solution

The fourth proportional to 464.68, 640.74 and 361 is: 497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.68 : 640.74 = 361 : x
  2. Step 2: Convert to fraction form
    464.68/640.74 = 361/x
  3. Step 3: Cross multiply
    464.68x = 640.74 × 361
  4. Step 4: Simplify right side
    464.68x = 231,307.14
  5. Step 5: Solve for x
    x = 231,307.14/464.68
  6. Step 6: Final answer
    x = 497.78

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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.