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Finding the Fourth Proportional to 1,568.09, 2,352.83 and 644.34

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Solution

The fourth proportional to 1,568.09, 2,352.83 and 644.34 is: 966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.09 : 2,352.83 = 644.34 : x
  2. Step 2: Convert to fraction form
    1,568.09/2,352.83 = 644.34/x
  3. Step 3: Cross multiply
    1,568.09x = 2,352.83 × 644.34
  4. Step 4: Simplify right side
    1,568.09x = 1,516,019.26
  5. Step 5: Solve for x
    x = 1,516,019.26/1,568.09
  6. Step 6: Final answer
    x = 966.80

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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.