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Finding the Fourth Proportional to 1,186.65, 1,770.82 and 1,042.66

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Solution

The fourth proportional to 1,186.65, 1,770.82 and 1,042.66 is: 1,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.65 : 1,770.82 = 1,042.66 : x
  2. Step 2: Convert to fraction form
    1,186.65/1,770.82 = 1,042.66/x
  3. Step 3: Cross multiply
    1,186.65x = 1,770.82 × 1,042.66
  4. Step 4: Simplify right side
    1,186.65x = 1,846,363.18
  5. Step 5: Solve for x
    x = 1,846,363.18/1,186.65
  6. Step 6: Final answer
    x = 1,555.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.