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Finding the Fourth Proportional to 1,170.78, 1,755.35 and 804.66

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Solution

The fourth proportional to 1,170.78, 1,755.35 and 804.66 is: 1,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.78 : 1,755.35 = 804.66 : x
  2. Step 2: Convert to fraction form
    1,170.78/1,755.35 = 804.66/x
  3. Step 3: Cross multiply
    1,170.78x = 1,755.35 × 804.66
  4. Step 4: Simplify right side
    1,170.78x = 1,412,459.93
  5. Step 5: Solve for x
    x = 1,412,459.93/1,170.78
  6. Step 6: Final answer
    x = 1,206.43

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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.