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Finding the Fourth Proportional to 1,408.25, 2,109.50 and 852.61

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Solution

The fourth proportional to 1,408.25, 2,109.50 and 852.61 is: 1,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.25 : 2,109.50 = 852.61 : x
  2. Step 2: Convert to fraction form
    1,408.25/2,109.50 = 852.61/x
  3. Step 3: Cross multiply
    1,408.25x = 2,109.50 × 852.61
  4. Step 4: Simplify right side
    1,408.25x = 1,798,580.80
  5. Step 5: Solve for x
    x = 1,798,580.80/1,408.25
  6. Step 6: Final answer
    x = 1,277.17

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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.