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Finding the Fourth Proportional to 681.64, 1,022.58 and 316.84

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Solution

The fourth proportional to 681.64, 1,022.58 and 316.84 is: 475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.64 : 1,022.58 = 316.84 : x
  2. Step 2: Convert to fraction form
    681.64/1,022.58 = 316.84/x
  3. Step 3: Cross multiply
    681.64x = 1,022.58 × 316.84
  4. Step 4: Simplify right side
    681.64x = 323,994.25
  5. Step 5: Solve for x
    x = 323,994.25/681.64
  6. Step 6: Final answer
    x = 475.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.