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Finding the Fourth Proportional to 773.54, 1,066.66 and 549.37

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Solution

The fourth proportional to 773.54, 1,066.66 and 549.37 is: 757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.54 : 1,066.66 = 549.37 : x
  2. Step 2: Convert to fraction form
    773.54/1,066.66 = 549.37/x
  3. Step 3: Cross multiply
    773.54x = 1,066.66 × 549.37
  4. Step 4: Simplify right side
    773.54x = 585,988.69
  5. Step 5: Solve for x
    x = 585,988.69/773.54
  6. Step 6: Final answer
    x = 757.54

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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.