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Finding the Fourth Proportional to 463.76, 639.76 and 316.36

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Solution

The fourth proportional to 463.76, 639.76 and 316.36 is: 436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 639.76 = 316.36 : x
  2. Step 2: Convert to fraction form
    463.76/639.76 = 316.36/x
  3. Step 3: Cross multiply
    463.76x = 639.76 × 316.36
  4. Step 4: Simplify right side
    463.76x = 202,394.47
  5. Step 5: Solve for x
    x = 202,394.47/463.76
  6. Step 6: Final answer
    x = 436.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.