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Finding the Fourth Proportional to 1,160.25, 1,738.34 and 966.50

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Solution

The fourth proportional to 1,160.25, 1,738.34 and 966.50 is: 1,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.25 : 1,738.34 = 966.50 : x
  2. Step 2: Convert to fraction form
    1,160.25/1,738.34 = 966.50/x
  3. Step 3: Cross multiply
    1,160.25x = 1,738.34 × 966.50
  4. Step 4: Simplify right side
    1,160.25x = 1,680,105.61
  5. Step 5: Solve for x
    x = 1,680,105.61/1,160.25
  6. Step 6: Final answer
    x = 1,448.05

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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.