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Finding the Fourth Proportional to 2,376.01, 3,563.74 and 644.50

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Solution

The fourth proportional to 2,376.01, 3,563.74 and 644.50 is: 966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.01 : 3,563.74 = 644.50 : x
  2. Step 2: Convert to fraction form
    2,376.01/3,563.74 = 644.50/x
  3. Step 3: Cross multiply
    2,376.01x = 3,563.74 × 644.50
  4. Step 4: Simplify right side
    2,376.01x = 2,296,830.43
  5. Step 5: Solve for x
    x = 2,296,830.43/2,376.01
  6. Step 6: Final answer
    x = 966.68

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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.