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Finding the Fourth Proportional to 746.44, 1,032.78 and 629.80

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Solution

The fourth proportional to 746.44, 1,032.78 and 629.80 is: 871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.44 : 1,032.78 = 629.80 : x
  2. Step 2: Convert to fraction form
    746.44/1,032.78 = 629.80/x
  3. Step 3: Cross multiply
    746.44x = 1,032.78 × 629.80
  4. Step 4: Simplify right side
    746.44x = 650,444.84
  5. Step 5: Solve for x
    x = 650,444.84/746.44
  6. Step 6: Final answer
    x = 871.40

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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.