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Finding the Fourth Proportional to 685.72, 945.36 and 546.28

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Solution

The fourth proportional to 685.72, 945.36 and 546.28 is: 753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.72 : 945.36 = 546.28 : x
  2. Step 2: Convert to fraction form
    685.72/945.36 = 546.28/x
  3. Step 3: Cross multiply
    685.72x = 945.36 × 546.28
  4. Step 4: Simplify right side
    685.72x = 516,431.26
  5. Step 5: Solve for x
    x = 516,431.26/685.72
  6. Step 6: Final answer
    x = 753.12

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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.