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Finding the Fourth Proportional to 1,028.99, 1,419.43 and 714.44

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Solution

The fourth proportional to 1,028.99, 1,419.43 and 714.44 is: 985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.99 : 1,419.43 = 714.44 : x
  2. Step 2: Convert to fraction form
    1,028.99/1,419.43 = 714.44/x
  3. Step 3: Cross multiply
    1,028.99x = 1,419.43 × 714.44
  4. Step 4: Simplify right side
    1,028.99x = 1,014,097.57
  5. Step 5: Solve for x
    x = 1,014,097.57/1,028.99
  6. Step 6: Final answer
    x = 985.53

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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.