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Finding the Fourth Proportional to 1,028.21, 1,415.45 and 890.24

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Solution

The fourth proportional to 1,028.21, 1,415.45 and 890.24 is: 1,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.21 : 1,415.45 = 890.24 : x
  2. Step 2: Convert to fraction form
    1,028.21/1,415.45 = 890.24/x
  3. Step 3: Cross multiply
    1,028.21x = 1,415.45 × 890.24
  4. Step 4: Simplify right side
    1,028.21x = 1,260,085.36
  5. Step 5: Solve for x
    x = 1,260,085.36/1,028.21
  6. Step 6: Final answer
    x = 1,225.52

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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.