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Finding the Fourth Proportional to 1,156.14, 1,732.11 and 668.16

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Solution

The fourth proportional to 1,156.14, 1,732.11 and 668.16 is: 1,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.14 : 1,732.11 = 668.16 : x
  2. Step 2: Convert to fraction form
    1,156.14/1,732.11 = 668.16/x
  3. Step 3: Cross multiply
    1,156.14x = 1,732.11 × 668.16
  4. Step 4: Simplify right side
    1,156.14x = 1,157,326.62
  5. Step 5: Solve for x
    x = 1,157,326.62/1,156.14
  6. Step 6: Final answer
    x = 1,001.03

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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.