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Finding the Fourth Proportional to 685.12, 945.76 and 544.96

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Solution

The fourth proportional to 685.12, 945.76 and 544.96 is: 752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.12 : 945.76 = 544.96 : x
  2. Step 2: Convert to fraction form
    685.12/945.76 = 544.96/x
  3. Step 3: Cross multiply
    685.12x = 945.76 × 544.96
  4. Step 4: Simplify right side
    685.12x = 515,401.37
  5. Step 5: Solve for x
    x = 515,401.37/685.12
  6. Step 6: Final answer
    x = 752.28

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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.