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Finding the Fourth Proportional to 1,014.05, 1,399.39 and 548.30

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Solution

The fourth proportional to 1,014.05, 1,399.39 and 548.30 is: 756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.05 : 1,399.39 = 548.30 : x
  2. Step 2: Convert to fraction form
    1,014.05/1,399.39 = 548.30/x
  3. Step 3: Cross multiply
    1,014.05x = 1,399.39 × 548.30
  4. Step 4: Simplify right side
    1,014.05x = 767,278.77
  5. Step 5: Solve for x
    x = 767,278.77/1,014.05
  6. Step 6: Final answer
    x = 756.65

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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.