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Finding the Fourth Proportional to 662.64, 994.56 and 354.74

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Solution

The fourth proportional to 662.64, 994.56 and 354.74 is: 532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.64 : 994.56 = 354.74 : x
  2. Step 2: Convert to fraction form
    662.64/994.56 = 354.74/x
  3. Step 3: Cross multiply
    662.64x = 994.56 × 354.74
  4. Step 4: Simplify right side
    662.64x = 352,810.21
  5. Step 5: Solve for x
    x = 352,810.21/662.64
  6. Step 6: Final answer
    x = 532.43

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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.