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Finding the Fourth Proportional to 699.11, 1,046.48 and 451.99

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Solution

The fourth proportional to 699.11, 1,046.48 and 451.99 is: 676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.11 : 1,046.48 = 451.99 : x
  2. Step 2: Convert to fraction form
    699.11/1,046.48 = 451.99/x
  3. Step 3: Cross multiply
    699.11x = 1,046.48 × 451.99
  4. Step 4: Simplify right side
    699.11x = 472,993.26
  5. Step 5: Solve for x
    x = 472,993.26/699.11
  6. Step 6: Final answer
    x = 676.56

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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.