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Finding the Fourth Proportional to 1,170.40, 1,614.60 and 855.15

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Solution

The fourth proportional to 1,170.40, 1,614.60 and 855.15 is: 1,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.40 : 1,614.60 = 855.15 : x
  2. Step 2: Convert to fraction form
    1,170.40/1,614.60 = 855.15/x
  3. Step 3: Cross multiply
    1,170.40x = 1,614.60 × 855.15
  4. Step 4: Simplify right side
    1,170.40x = 1,380,725.19
  5. Step 5: Solve for x
    x = 1,380,725.19/1,170.40
  6. Step 6: Final answer
    x = 1,179.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.