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Finding the Fourth Proportional to 1,686.97, 2,529.70 and 762.49

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Solution

The fourth proportional to 1,686.97, 2,529.70 and 762.49 is: 1,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.97 : 2,529.70 = 762.49 : x
  2. Step 2: Convert to fraction form
    1,686.97/2,529.70 = 762.49/x
  3. Step 3: Cross multiply
    1,686.97x = 2,529.70 × 762.49
  4. Step 4: Simplify right side
    1,686.97x = 1,928,860.21
  5. Step 5: Solve for x
    x = 1,928,860.21/1,686.97
  6. Step 6: Final answer
    x = 1,143.39

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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.