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Finding the Fourth Proportional to 1,086.46, 1,631.75 and 678.45

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Solution

The fourth proportional to 1,086.46, 1,631.75 and 678.45 is: 1,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.46 : 1,631.75 = 678.45 : x
  2. Step 2: Convert to fraction form
    1,086.46/1,631.75 = 678.45/x
  3. Step 3: Cross multiply
    1,086.46x = 1,631.75 × 678.45
  4. Step 4: Simplify right side
    1,086.46x = 1,107,063.51
  5. Step 5: Solve for x
    x = 1,107,063.51/1,086.46
  6. Step 6: Final answer
    x = 1,018.97

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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.