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Finding the Fourth Proportional to 1,166.82, 1,747.95 and 678.84

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Solution

The fourth proportional to 1,166.82, 1,747.95 and 678.84 is: 1,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.82 : 1,747.95 = 678.84 : x
  2. Step 2: Convert to fraction form
    1,166.82/1,747.95 = 678.84/x
  3. Step 3: Cross multiply
    1,166.82x = 1,747.95 × 678.84
  4. Step 4: Simplify right side
    1,166.82x = 1,186,578.38
  5. Step 5: Solve for x
    x = 1,186,578.38/1,166.82
  6. Step 6: Final answer
    x = 1,016.93

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1.5x scale

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.