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Finding the Fourth Proportional to 1,028.78, 1,419.71 and 556.68

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Solution

The fourth proportional to 1,028.78, 1,419.71 and 556.68 is: 768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.78 : 1,419.71 = 556.68 : x
  2. Step 2: Convert to fraction form
    1,028.78/1,419.71 = 556.68/x
  3. Step 3: Cross multiply
    1,028.78x = 1,419.71 × 556.68
  4. Step 4: Simplify right side
    1,028.78x = 790,322.70
  5. Step 5: Solve for x
    x = 790,322.70/1,028.78
  6. Step 6: Final answer
    x = 768.21

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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.