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Finding the Fourth Proportional to 1,014.31, 1,399.75 and 548.56

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Solution

The fourth proportional to 1,014.31, 1,399.75 and 548.56 is: 757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.31 : 1,399.75 = 548.56 : x
  2. Step 2: Convert to fraction form
    1,014.31/1,399.75 = 548.56/x
  3. Step 3: Cross multiply
    1,014.31x = 1,399.75 × 548.56
  4. Step 4: Simplify right side
    1,014.31x = 767,846.86
  5. Step 5: Solve for x
    x = 767,846.86/1,014.31
  6. Step 6: Final answer
    x = 757.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.