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Finding the Fourth Proportional to 1,086.75, 1,628.99 and 470.14

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Solution

The fourth proportional to 1,086.75, 1,628.99 and 470.14 is: 704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.75 : 1,628.99 = 470.14 : x
  2. Step 2: Convert to fraction form
    1,086.75/1,628.99 = 470.14/x
  3. Step 3: Cross multiply
    1,086.75x = 1,628.99 × 470.14
  4. Step 4: Simplify right side
    1,086.75x = 765,853.36
  5. Step 5: Solve for x
    x = 765,853.36/1,086.75
  6. Step 6: Final answer
    x = 704.72

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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.