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Finding the Fourth Proportional to 1,061.72, 1,464.66 and 668.12

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Solution

The fourth proportional to 1,061.72, 1,464.66 and 668.12 is: 921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.72 : 1,464.66 = 668.12 : x
  2. Step 2: Convert to fraction form
    1,061.72/1,464.66 = 668.12/x
  3. Step 3: Cross multiply
    1,061.72x = 1,464.66 × 668.12
  4. Step 4: Simplify right side
    1,061.72x = 978,568.64
  5. Step 5: Solve for x
    x = 978,568.64/1,061.72
  6. Step 6: Final answer
    x = 921.68

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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.