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Finding the Fourth Proportional to 1,729.42, 2,594.16 and 863.26

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Solution

The fourth proportional to 1,729.42, 2,594.16 and 863.26 is: 1,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.42 : 2,594.16 = 863.26 : x
  2. Step 2: Convert to fraction form
    1,729.42/2,594.16 = 863.26/x
  3. Step 3: Cross multiply
    1,729.42x = 2,594.16 × 863.26
  4. Step 4: Simplify right side
    1,729.42x = 2,239,434.56
  5. Step 5: Solve for x
    x = 2,239,434.56/1,729.42
  6. Step 6: Final answer
    x = 1,294.90

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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.