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Finding the Fourth Proportional to 676.80, 931.20 and 633.60

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Solution

The fourth proportional to 676.80, 931.20 and 633.60 is: 871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.80 : 931.20 = 633.60 : x
  2. Step 2: Convert to fraction form
    676.80/931.20 = 633.60/x
  3. Step 3: Cross multiply
    676.80x = 931.20 × 633.60
  4. Step 4: Simplify right side
    676.80x = 590,008.32
  5. Step 5: Solve for x
    x = 590,008.32/676.80
  6. Step 6: Final answer
    x = 871.76

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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.