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Finding the Fourth Proportional to 1,180.67, 1,769.61 and 486.47

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Solution

The fourth proportional to 1,180.67, 1,769.61 and 486.47 is: 729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.67 : 1,769.61 = 486.47 : x
  2. Step 2: Convert to fraction form
    1,180.67/1,769.61 = 486.47/x
  3. Step 3: Cross multiply
    1,180.67x = 1,769.61 × 486.47
  4. Step 4: Simplify right side
    1,180.67x = 860,853.33
  5. Step 5: Solve for x
    x = 860,853.33/1,180.67
  6. Step 6: Final answer
    x = 729.13

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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.