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Finding the Fourth Proportional to 676.32, 1,011.95 and 481.77

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Solution

The fourth proportional to 676.32, 1,011.95 and 481.77 is: 720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.32 : 1,011.95 = 481.77 : x
  2. Step 2: Convert to fraction form
    676.32/1,011.95 = 481.77/x
  3. Step 3: Cross multiply
    676.32x = 1,011.95 × 481.77
  4. Step 4: Simplify right side
    676.32x = 487,528.36
  5. Step 5: Solve for x
    x = 487,528.36/676.32
  6. Step 6: Final answer
    x = 720.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.