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Finding the Fourth Proportional to 783.75, 1,082.11 and 644.33

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Solution

The fourth proportional to 783.75, 1,082.11 and 644.33 is: 889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.75 : 1,082.11 = 644.33 : x
  2. Step 2: Convert to fraction form
    783.75/1,082.11 = 644.33/x
  3. Step 3: Cross multiply
    783.75x = 1,082.11 × 644.33
  4. Step 4: Simplify right side
    783.75x = 697,235.20
  5. Step 5: Solve for x
    x = 697,235.20/783.75
  6. Step 6: Final answer
    x = 889.61

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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.