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Finding the Fourth Proportional to 721.59, 1,074.72 and 676.63

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Solution

The fourth proportional to 721.59, 1,074.72 and 676.63 is: 1,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.59 : 1,074.72 = 676.63 : x
  2. Step 2: Convert to fraction form
    721.59/1,074.72 = 676.63/x
  3. Step 3: Cross multiply
    721.59x = 1,074.72 × 676.63
  4. Step 4: Simplify right side
    721.59x = 727,187.79
  5. Step 5: Solve for x
    x = 727,187.79/721.59
  6. Step 6: Final answer
    x = 1,007.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.