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Finding the Fourth Proportional to 1,698.39, 2,546.14 and 773.62

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Solution

The fourth proportional to 1,698.39, 2,546.14 and 773.62 is: 1,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.39 : 2,546.14 = 773.62 : x
  2. Step 2: Convert to fraction form
    1,698.39/2,546.14 = 773.62/x
  3. Step 3: Cross multiply
    1,698.39x = 2,546.14 × 773.62
  4. Step 4: Simplify right side
    1,698.39x = 1,969,744.83
  5. Step 5: Solve for x
    x = 1,969,744.83/1,698.39
  6. Step 6: Final answer
    x = 1,159.77

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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.