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Finding the Fourth Proportional to 1,729.64, 2,592.54 and 689.37

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Solution

The fourth proportional to 1,729.64, 2,592.54 and 689.37 is: 1,033.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.64 : 2,592.54 = 689.37 : x
  2. Step 2: Convert to fraction form
    1,729.64/2,592.54 = 689.37/x
  3. Step 3: Cross multiply
    1,729.64x = 2,592.54 × 689.37
  4. Step 4: Simplify right side
    1,729.64x = 1,787,219.30
  5. Step 5: Solve for x
    x = 1,787,219.30/1,729.64
  6. Step 6: Final answer
    x = 1,033.29

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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.