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Finding the Fourth Proportional to 676.05, 931.30 and 536.12

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Solution

The fourth proportional to 676.05, 931.30 and 536.12 is: 738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.05 : 931.30 = 536.12 : x
  2. Step 2: Convert to fraction form
    676.05/931.30 = 536.12/x
  3. Step 3: Cross multiply
    676.05x = 931.30 × 536.12
  4. Step 4: Simplify right side
    676.05x = 499,286.05
  5. Step 5: Solve for x
    x = 499,286.05/676.05
  6. Step 6: Final answer
    x = 738.54

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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.