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Finding the Fourth Proportional to 1,066.72, 1,471.66 and 668.22

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Solution

The fourth proportional to 1,066.72, 1,471.66 and 668.22 is: 921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.72 : 1,471.66 = 668.22 : x
  2. Step 2: Convert to fraction form
    1,066.72/1,471.66 = 668.22/x
  3. Step 3: Cross multiply
    1,066.72x = 1,471.66 × 668.22
  4. Step 4: Simplify right side
    1,066.72x = 983,392.65
  5. Step 5: Solve for x
    x = 983,392.65/1,066.72
  6. Step 6: Final answer
    x = 921.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.