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Finding the Fourth Proportional to 1,028.03, 1,418.68 and 562.28

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Solution

The fourth proportional to 1,028.03, 1,418.68 and 562.28 is: 775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.03 : 1,418.68 = 562.28 : x
  2. Step 2: Convert to fraction form
    1,028.03/1,418.68 = 562.28/x
  3. Step 3: Cross multiply
    1,028.03x = 1,418.68 × 562.28
  4. Step 4: Simplify right side
    1,028.03x = 797,700.34
  5. Step 5: Solve for x
    x = 797,700.34/1,028.03
  6. Step 6: Final answer
    x = 775.95

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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.