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Finding the Fourth Proportional to 1,522.18, 2,283 and 644.41

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Solution

The fourth proportional to 1,522.18, 2,283 and 644.41 is: 966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.18 : 2,283 = 644.41 : x
  2. Step 2: Convert to fraction form
    1,522.18/2,283 = 644.41/x
  3. Step 3: Cross multiply
    1,522.18x = 2,283 × 644.41
  4. Step 4: Simplify right side
    1,522.18x = 1,471,188.03
  5. Step 5: Solve for x
    x = 1,471,188.03/1,522.18
  6. Step 6: Final answer
    x = 966.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.