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Finding the Fourth Proportional to 464.13, 639.77 and 316.71

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Solution

The fourth proportional to 464.13, 639.77 and 316.71 is: 436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 639.77 = 316.71 : x
  2. Step 2: Convert to fraction form
    464.13/639.77 = 316.71/x
  3. Step 3: Cross multiply
    464.13x = 639.77 × 316.71
  4. Step 4: Simplify right side
    464.13x = 202,619.97
  5. Step 5: Solve for x
    x = 202,619.97/464.13
  6. Step 6: Final answer
    x = 436.56

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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.