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Finding the Fourth Proportional to 2,329.85, 3,494.77 and 686.40

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Solution

The fourth proportional to 2,329.85, 3,494.77 and 686.40 is: 1,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.85 : 3,494.77 = 686.40 : x
  2. Step 2: Convert to fraction form
    2,329.85/3,494.77 = 686.40/x
  3. Step 3: Cross multiply
    2,329.85x = 3,494.77 × 686.40
  4. Step 4: Simplify right side
    2,329.85x = 2,398,810.13
  5. Step 5: Solve for x
    x = 2,398,810.13/2,329.85
  6. Step 6: Final answer
    x = 1,029.60

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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.