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Finding the Fourth Proportional to 1,698.64, 2,546.64 and 820.69

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Solution

The fourth proportional to 1,698.64, 2,546.64 and 820.69 is: 1,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.64 : 2,546.64 = 820.69 : x
  2. Step 2: Convert to fraction form
    1,698.64/2,546.64 = 820.69/x
  3. Step 3: Cross multiply
    1,698.64x = 2,546.64 × 820.69
  4. Step 4: Simplify right side
    1,698.64x = 2,090,001.98
  5. Step 5: Solve for x
    x = 2,090,001.98/1,698.64
  6. Step 6: Final answer
    x = 1,230.40

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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.