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Finding the Fourth Proportional to 1,086.42, 1,628.42 and 470.64

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Solution

The fourth proportional to 1,086.42, 1,628.42 and 470.64 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.42 : 1,628.42 = 470.64 : x
  2. Step 2: Convert to fraction form
    1,086.42/1,628.42 = 470.64/x
  3. Step 3: Cross multiply
    1,086.42x = 1,628.42 × 470.64
  4. Step 4: Simplify right side
    1,086.42x = 766,397.24
  5. Step 5: Solve for x
    x = 766,397.24/1,086.42
  6. Step 6: Final answer
    x = 705.43

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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.