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Finding the Fourth Proportional to 1,021.80, 1,410.20 and 628.82

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Solution

The fourth proportional to 1,021.80, 1,410.20 and 628.82 is: 867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.80 : 1,410.20 = 628.82 : x
  2. Step 2: Convert to fraction form
    1,021.80/1,410.20 = 628.82/x
  3. Step 3: Cross multiply
    1,021.80x = 1,410.20 × 628.82
  4. Step 4: Simplify right side
    1,021.80x = 886,761.96
  5. Step 5: Solve for x
    x = 886,761.96/1,021.80
  6. Step 6: Final answer
    x = 867.84

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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.