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Finding the Fourth Proportional to 1,698.35, 2,549.95 and 1,260.95

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Solution

The fourth proportional to 1,698.35, 2,549.95 and 1,260.95 is: 1,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.35 : 2,549.95 = 1,260.95 : x
  2. Step 2: Convert to fraction form
    1,698.35/2,549.95 = 1,260.95/x
  3. Step 3: Cross multiply
    1,698.35x = 2,549.95 × 1,260.95
  4. Step 4: Simplify right side
    1,698.35x = 3,215,346.70
  5. Step 5: Solve for x
    x = 3,215,346.70/1,698.35
  6. Step 6: Final answer
    x = 1,893.22

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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.