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Finding the Fourth Proportional to 1,028.25, 1,419 and 562.50

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Solution

The fourth proportional to 1,028.25, 1,419 and 562.50 is: 776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.25 : 1,419 = 562.50 : x
  2. Step 2: Convert to fraction form
    1,028.25/1,419 = 562.50/x
  3. Step 3: Cross multiply
    1,028.25x = 1,419 × 562.50
  4. Step 4: Simplify right side
    1,028.25x = 798,187.50
  5. Step 5: Solve for x
    x = 798,187.50/1,028.25
  6. Step 6: Final answer
    x = 776.26

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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.