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Finding the Fourth Proportional to 1,180.07, 1,770.14 and 659.78

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Solution

The fourth proportional to 1,180.07, 1,770.14 and 659.78 is: 989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.07 : 1,770.14 = 659.78 : x
  2. Step 2: Convert to fraction form
    1,180.07/1,770.14 = 659.78/x
  3. Step 3: Cross multiply
    1,180.07x = 1,770.14 × 659.78
  4. Step 4: Simplify right side
    1,180.07x = 1,167,899.67
  5. Step 5: Solve for x
    x = 1,167,899.67/1,180.07
  6. Step 6: Final answer
    x = 989.69

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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.