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Finding the Fourth Proportional to 2,329.70, 3,494.54 and 686.21

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Solution

The fourth proportional to 2,329.70, 3,494.54 and 686.21 is: 1,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.70 : 3,494.54 = 686.21 : x
  2. Step 2: Convert to fraction form
    2,329.70/3,494.54 = 686.21/x
  3. Step 3: Cross multiply
    2,329.70x = 3,494.54 × 686.21
  4. Step 4: Simplify right side
    2,329.70x = 2,397,967.39
  5. Step 5: Solve for x
    x = 2,397,967.39/2,329.70
  6. Step 6: Final answer
    x = 1,029.31

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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.