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Finding the Fourth Proportional to 688.31, 949.82 and 393.54

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Solution

The fourth proportional to 688.31, 949.82 and 393.54 is: 543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.31 : 949.82 = 393.54 : x
  2. Step 2: Convert to fraction form
    688.31/949.82 = 393.54/x
  3. Step 3: Cross multiply
    688.31x = 949.82 × 393.54
  4. Step 4: Simplify right side
    688.31x = 373,787.41
  5. Step 5: Solve for x
    x = 373,787.41/688.31
  6. Step 6: Final answer
    x = 543.05

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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.