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Finding the Fourth Proportional to 688.54, 950.90 and 629.31

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Solution

The fourth proportional to 688.54, 950.90 and 629.31 is: 869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.54 : 950.90 = 629.31 : x
  2. Step 2: Convert to fraction form
    688.54/950.90 = 629.31/x
  3. Step 3: Cross multiply
    688.54x = 950.90 × 629.31
  4. Step 4: Simplify right side
    688.54x = 598,410.88
  5. Step 5: Solve for x
    x = 598,410.88/688.54
  6. Step 6: Final answer
    x = 869.10

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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.