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Finding the Fourth Proportional to 771.99, 1,066.28 and 548.43

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Solution

The fourth proportional to 771.99, 1,066.28 and 548.43 is: 757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.99 : 1,066.28 = 548.43 : x
  2. Step 2: Convert to fraction form
    771.99/1,066.28 = 548.43/x
  3. Step 3: Cross multiply
    771.99x = 1,066.28 × 548.43
  4. Step 4: Simplify right side
    771.99x = 584,777.20
  5. Step 5: Solve for x
    x = 584,777.20/771.99
  6. Step 6: Final answer
    x = 757.49

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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.